{"id":5941,"date":"2023-11-18T19:02:17","date_gmt":"2023-11-18T13:32:17","guid":{"rendered":"https:\/\/edunovations.com\/mcqs\/?p=5941"},"modified":"2023-11-18T19:02:45","modified_gmt":"2023-11-18T13:32:45","slug":"ncert-class-10-maths-mcq-3","status":"publish","type":"post","link":"https:\/\/edunovations.com\/mcqs\/ncert-class-10-maths-mcq-3\/","title":{"rendered":"NCERT Class 10 Maths\u00a0 MCQ :\u00a0Pair of Linear Equations in Two Variables"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_81 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/edunovations.com\/mcqs\/ncert-class-10-maths-mcq-3\/#NCERT_Class_10_Maths_MCQ_Pair_of_Linear_Equations_in_Two_Variables\" >NCERT Class 10 Maths&nbsp; MCQ :&nbsp;Pair of Linear Equations in Two Variables<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/edunovations.com\/mcqs\/ncert-class-10-maths-mcq-3\/#NCERT_Class_10_Maths_Pair_of_Linear_Equations_in_Two_Variables_MCQ_%E2%80%93_NCERT_Class_10_MCQ\" >NCERT Class 10 Maths&nbsp;:&nbsp;Pair of Linear Equations in Two Variables MCQ &#8211; NCERT Class 10 MCQ<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/edunovations.com\/mcqs\/ncert-class-10-maths-mcq-3\/#Some_Important_Links\" >Some Important Links<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"NCERT_Class_10_Maths_MCQ_Pair_of_Linear_Equations_in_Two_Variables\"><\/span>NCERT Class 10 Maths&nbsp; MCQ :&nbsp;Pair of Linear Equations in Two Variables<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Embark on a mathematical odyssey with our enlightening Multiple-Choice Questions (MCQs) page on &#8220;Pair of Linear Equations in Two Variables.&#8221; This meticulously curated resource is a compilation of thought-provoking questions sourced from previous year papers across diverse sectors, including UPSC IAS and more. Dive into the world of algebraic precision and problem-solving mastery as you navigate through questions designed to enhance your understanding of linear equations and their applications.<\/p>\n\n\n\n<p>Tailored for both mathematics enthusiasts and serious exam aspirants, our Linear Equations MCQs cover a spectrum of topics, from simultaneous equations to graphical representations. This page serves as a dynamic tool for comprehensive exam preparation, ensuring a nuanced grasp of fundamental concepts crucial for various sectors.<\/p>\n\n\n\n<p>Navigate through a carefully curated collection of MCQs that mirror the depth and complexity of questions featured in renowned exams, providing an invaluable resource for those preparing for UPSC IAS and other competitive examinations. This isn&#8217;t just an exam aid; it&#8217;s a key to unlocking a profound understanding of the principles that govern linear equations in two variables<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"NCERT_Class_10_Maths_Pair_of_Linear_Equations_in_Two_Variables_MCQ_%E2%80%93_NCERT_Class_10_MCQ\"><\/span>NCERT Class 10 <strong>Maths&nbsp;<\/strong>:&nbsp;Pair of Linear Equations in Two Variables MCQ<strong> &#8211; NCERT Class 10 MCQ<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<style>\r\n    \/* Quiz container *\/\r\n    .quiz-container {\r\n        max-width: 800px;\r\n        margin: 0 auto;\r\n        padding: 20px;\r\n        box-sizing: border-box;\r\n        font-family: Arial, sans-serif;\r\n    }\r\n\r\n    \/* Question *\/\r\n    .question {\r\n        background-color: #f9f9f9;\r\n        padding: 20px;\r\n        border: 1px solid #ccc;\r\n        font-size: 20px;\r\n        margin-bottom: 20px;\r\n        border-radius: 5px;\r\n        box-shadow: 0 2px 4px rgba(0, 0, 0, 0.1);\r\n        position: relative;\r\n    }\r\n\r\n    \/* Question header *\/\r\n    .question h4 {\r\n        margin-bottom: 20px;\r\n    }\r\n\r\n    \/* Options list *\/\r\n    .options {\r\n        list-style-type: none;\r\n        padding: 0;\r\n    }\r\n\r\n    \/* Option item *\/\r\n    .options li {\r\n        margin: 10px;\r\n        padding: 10px;\r\n        display: flex;\r\n        align-items: center;\r\n        border-radius: 5px;\r\n        border: 2px solid #ccc;\r\n        box-shadow: 0 2px 4px rgba(0, 0, 0, 0.1);\r\n    }\r\n\r\n    \/* Option number *\/\r\n    .options li span {\r\n        margin-right: 10px;\r\n        width: 20px;\r\n        height: 20px;\r\n        border-radius: 50%;\r\n        border: 2px solid black;\r\n        display: flex;\r\n        justify-content: center;\r\n        align-items: center;\r\n        font-weight: bold;\r\n    }\r\n\r\n    \/* Option colors *\/\r\n    .options li span.option-a {\r\n        background-color: #FFD700; \/* Yellow *\/\r\n    }\r\n\r\n    .options li span.option-b {\r\n        background-color: #FF1493; \/* Pink *\/\r\n    }\r\n\r\n    .options li span.option-c {\r\n        background-color: #00BFFF; \/* Light Blue *\/\r\n    }\r\n\r\n    .options li span.option-d {\r\n        background-color: #7CFC00; \/* Green-Yellow *\/\r\n    }\r\n\r\n    .options li span.option-e {\r\n        background-color: #EE82EE; \/* Purple-Pink *\/\r\n    }\r\n\r\n    \/* Show answer button *\/\r\n    .show-answer {\r\n        background-color: #0066CC;\r\n        color: #fff;\r\n        border: none;\r\n        padding: 8px 20px;\r\n        font-size: 20px;\r\n        cursor: pointer;\r\n        border-radius: 3px;\r\n        text-align: center;\r\n        display: inline-block;\r\n        margin-bottom: 20px;\r\n    }\r\n\r\n    \/* Answer box *\/\r\n    .answer-box {\r\n        margin: 0 auto;\r\n        padding: 10px;\r\n        font-size: 20px;\r\n        color: #61970F;\r\n        box-sizing: border-box;\r\n        display: none;\r\n    }\r\n\r\n    \/* Question header *\/\r\n    .quiz-container .question-header {\r\n        color: darkblue;\r\n        font-weight: bold;\r\n        margin-right: 10px;\r\n    }\r\n\r\n    \/* Question header and text *\/\r\n    .quiz-container .question-header,\r\n    .quiz-container .question-text {\r\n        display: inline;\r\n        font-weight: bold;\r\n    }\r\n\r\n    \/* Responsive styles *\/\r\n    @media (max-width: 767px) {\r\n        .quiz-container {\r\n            padding: 10px;\r\n        }\r\n    }\r\n<\/style>\r\n<div class=\"quiz-container\">\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">Graphically, the pair of equations 7x \u2013 y = 5; 21x \u2013 3y = 10 represents two lines which are\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12171\">intersecting at one point<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12171\">parallel<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12171\">intersecting at two points<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12171\">coincident<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The pair of equations 3x \u2013 5y = 7 and \u2013 6x + 10y = 7 have\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12172\">a unique solution<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12172\">infinitely many solutions<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12172\">no solution<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12172\">two solutions<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If a pair of linear equations is consistent, then the lines will be\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12173\">always coincident<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12173\">parallel<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12173\">always intersecting<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12173\">intersecting or coincident<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The pair of equations x = 0 and x = 5 has\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12174\">no solution<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12174\">unique\/one solution<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12174\">two solutions<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12174\">infinitely many solutions<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The pair of equation x = \u2013 4 and y = \u2013 5 graphically represents lines which are\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12175\">intersecting at (- 5, \u2013 4)<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12175\">intersecting at (- 4, \u2013 5)<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12175\">intersecting at (5, 4)<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12175\">intersecting at (4, 5)<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12176\">2x + 5y = 6<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12176\">3x + 5y = 3<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12176\">-10x \u2013 25y + 15 = 0<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12176\">10x + 25y = 15<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If x = a, y = b is the solution of the equations x + y = 5 and 2x \u2013 3y = 4, then the values of a and b are respectively<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12177\">6, -1<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12177\">2, 3<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12177\">1, 4<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12177\">19\/5, 6\/5<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The graph of x = -2 is a line parallel to the\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12178\">x-axis<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12178\">y-axis<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12178\">both x- and y-axis<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12178\">none of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The graph of y = 4x is a line\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12179\">parallel to x-axis<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12179\">parallel to y-axis<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12179\">perpendicular to y-axis<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12179\">passing through the origin<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The graph of y = 5 is a line parallel to the\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12180\">x-axis<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12180\"> y-axis<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12180\">both axis<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12180\">none of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">Two equations in two variables taken together are called\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12181\">linear equations<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12181\">quadratic equations<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12181\">simultaneous equations<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12181\">none of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If am bl then the system of equations ax + by = c, lx + my = n, has<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12182\">a unique solution<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12182\">no solution<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12182\">infinitely many solutions<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12182\">none of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">If in the equation x + 2y = 10, the value of y is 6, then the value of x will be\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12183\">-2<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12183\">2<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12183\">4<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12183\">5<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The graph of the equation 2x + 3y = 5 is a\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12184\">vertical line<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12184\">straight line<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12184\">horizontal line<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12184\">none of these<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"b\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The value of k, for which equations 3x + 5y = 0 and kx + lOy = 0 has a non-zero solution is<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12185\">6<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12185\">0<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12185\">2<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12185\">5<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The value of k, for which the system of equations x + (k + l)y = 5 and (k + l)x + 9y = 8k \u2013 1 has infinitely many solutions is\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12186\">2<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12186\">3<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12186\">4<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12186\">5<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"a\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The value of k for which the equations (3k + l)x + 3y = 2; (k2 + l)x + (k \u2013 2)y = 5 has no solution, then k is equal to\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12187\">2<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12187\">3<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12187\">1<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12187\">-1<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The pair of equations x = a and y = b graphically represents lines which are\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12188\">parallel<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12188\">intersecting at (b, a)<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12188\">coincident<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12188\">intersecting at (a, b)<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">Asha has only \u20b91 and \u20b92 coins with her. If the total number of coins that she has is 50 and the amount of money with her is \u20b975, then the number of \u20b91 and \u20b92 coins are, respectively\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12189\">35 and 15<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12189\">15 and 35<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12189\">35 and 20<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12189\">25 and 25<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"d\">Show Answer<\/button>\r\n    <\/div>\r\n      <div class=\"question\">\r\n      <span class=\"question-header\">Question:<\/span>\r\n      <div class=\"question-text\">The father\u2019s age is six times his son\u2019s age. Four years hence, the age of the father will be four times his son\u2019s age. The present ages of the son and the father are, respectively\r\n<\/div>\r\n      <ul class=\"options\">\r\n        <li><span class=\"option-a\">A<\/span><label for=\"optA_12190\">4 and 24<\/label><\/li>\r\n        <li><span class=\"option-b\">B<\/span><label for=\"optB_12190\">5 and 30<\/label><\/li>\r\n        <li><span class=\"option-c\">C<\/span><label for=\"optC_12190\"> 6 and 36<\/label><\/li>\r\n        <li><span class=\"option-d\">D<\/span><label for=\"optD_12190\">3 and 24<\/label><\/li>\r\n              <\/ul>\r\n      <div class=\"answer-box\"><\/div>\r\n      <button class=\"show-answer\" data-answer=\"c\">Show Answer<\/button>\r\n    <\/div>\r\n  <\/div>\r\n<script src=\"https:\/\/code.jquery.com\/jquery-3.6.0.min.js\"><\/script>\r\n<script>\r\n$(document).ready(function() {\r\n  $('.show-answer').click(function() {\r\n    var answer = $(this).data('answer');\r\n    $(this).siblings('.answer-box').html('The correct answer is: ' + answer).slideDown();\r\n    $(this).hide();\r\n  });\r\n});\r\n<\/script>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Some_Important_Links\"><\/span>Some Important Links <span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-1\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 1 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--2\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-2\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 2 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--3\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-3\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 3 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--4\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-4\/\">NCERT CLASS 4 MCQ<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--5\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-5\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 5 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--6\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-6\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 6 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--7\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-7\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 7 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--8\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-8\/\">NCERT CLASS 8 MCQ<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button is-style-outline is-style-outline--9\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-9\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 9 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--10\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-10\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 10 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--11\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-11\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT CLASS 11 MCQ<\/a><\/div>\n\n\n\n<div class=\"wp-block-button is-style-outline is-style-outline--12\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/class-12\/\">NCERT CLASS 12 MCQ<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/ncert\/\" target=\"_blank\" rel=\"noreferrer noopener\">NCERT MCQs<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/subject-wise\/indian-history\/\" target=\"_blank\" rel=\"noreferrer noopener\">Indian History MCQs<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/edunovations.com\/mcqs\/category\/subject-wise\/indian-polity\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Indian Polity MCQ<\/strong>s<\/a><\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-full\" id=\"Free-GK-MCQ-App\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.edunovations.quiz\" target=\"_blank\" rel=\"Free GK MCQ App noreferrer noopener\"><img fetchpriority=\"high\" decoding=\"async\" width=\"900\" height=\"150\" src=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App.jpg\" alt=\"Free GK MCQ App\" class=\"wp-image-743\" title=\"Free GK MCQ App\" srcset=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App.jpg 900w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App-300x50.jpg 300w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Free-MCQ-App-768x128.jpg 768w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/a><figcaption class=\"wp-element-caption\">Free GK MCQ App<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\" id=\"Free-Daily-Current-Affairs-MCQ-App\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.edunovations.quiz\" target=\"_blank\" rel=\"Free Daily Current Affairs MCQ App noopener\"><img decoding=\"async\" width=\"900\" height=\"150\" src=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Banner-current-affairs-2.jpg\" alt=\"Free Daily Current Affairs MCQ App\" class=\"wp-image-744\" title=\"Free Daily Current Affairs MCQ App\" srcset=\"https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Banner-current-affairs-2.jpg 900w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Banner-current-affairs-2-300x50.jpg 300w, https:\/\/edunovations.com\/mcqs\/wp-content\/uploads\/2023\/06\/Banner-current-affairs-2-768x128.jpg 768w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><\/a><figcaption class=\"wp-element-caption\">Free Daily Current Affairs MCQ App<\/figcaption><\/figure>\n\n\n\n<script async=\"\" src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-6643489308705072\" crossorigin=\"anonymous\"><\/script>\r\n<ins class=\"adsbygoogle\" style=\"display:block\" data-ad-format=\"autorelaxed\" data-ad-client=\"ca-pub-6643489308705072\" data-ad-slot=\"2759669284\"><\/ins>\r\n<script>\r\n     (adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Class 10 Maths&nbsp; MCQ :&nbsp;Pair of Linear Equations in Two Variables Embark on a mathematical odyssey with our enlightening Multiple-Choice Questions (MCQs) page on &#8220;Pair of Linear Equations in Two Variables.&#8221; This meticulously curated resource is a compilation of thought-provoking questions sourced from previous year papers across diverse sectors, including UPSC IAS and more. [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":5947,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"off","ocean_gallery_id":[],"footnotes":""},"categories":[69],"tags":[4543,121,3915,1877,91,1211,4434,590],"class_list":["post-5941","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-10","tag-algebraic-precision","tag-exam-preparation","tag-linear-equations","tag-mathematics","tag-mcqs","tag-problem-solving","tag-two-variables","tag-upsc-ias","entry","has-media"],"_links":{"self":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts\/5941","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/comments?post=5941"}],"version-history":[{"count":2,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts\/5941\/revisions"}],"predecessor-version":[{"id":5953,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/posts\/5941\/revisions\/5953"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/media\/5947"}],"wp:attachment":[{"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/media?parent=5941"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/categories?post=5941"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edunovations.com\/mcqs\/wp-json\/wp\/v2\/tags?post=5941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}