{"id":31851,"date":"2018-10-08T11:51:19","date_gmt":"2018-10-08T11:51:19","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=31851"},"modified":"2020-11-25T14:51:41","modified_gmt":"2020-11-25T09:21:41","slug":"ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/","title":{"rendered":"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test"},"content":{"rendered":"

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test<\/h2>\n

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths<\/a>. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test.<\/p>\n

ML Aggarwal Solutions<\/a>ICSE Solutions<\/a>Selina ICSE Solutions<\/a><\/p>\n

Question 1.<\/strong><\/span>
\nFind the equation of a line whose inclination is 60\u00b0 and y-intercept is – 4.<\/strong>
\nSolution:<\/strong><\/span>
\nAngle of inclination = 60\u00b0
\nSlope = tan \u03b8 = tan 60\u00b0 = \u221a3
\nEquation of the line will be,
\ny = mx + c = \u221a3x + ( – 4)
\n=> y – \u221a3x – 4 Ans.<\/p>\n

Question 2.<\/strong><\/span>
\nWrite down the gradient and the intercept on the y-axis of the line 3y + 2x = 12.<\/strong>
\nSolution:<\/strong><\/span>
\nSlope of the line 3y + 2x = 12
\n=> 3y = 12 – 2x
\n=> 3y = – 2x + 12
\n\"ML<\/p>\n

Question 3.<\/strong><\/span>
\nIf the equation of a line is y – \u221a3x + 1, find its inclination.<\/strong>
\nSolution:<\/strong><\/span>
\nIn the line
\ny = \u221a3 x + 1
\nSlope = \u221a3 => tan \u03b8 = \u221a3
\n\u03b8 = 60\u00b0 (\u2235 tan 60\u00b0 = \u221a3)<\/p>\n

Question 4.<\/strong><\/span>
\nIf the line y = mx + c passes through the points (2, – 4) and ( – 3, 1), determine the values of m and c.<\/strong>
\nSolution:<\/strong><\/span>
\nThe equation of line y = mx + c
\n\u2235 it passes through (2, – 4) and ( – 3, 1)
\nNow substituting the value of these points – 4 = 2 m + c …(i)
\nand 1 = – 3 m + c …(ii)
\nSubtracting we get,
\n\"ML<\/p>\n

Question 5.<\/strong><\/span>
\nIf the point (1, 4), (3, – 2) and (p, – 5) lie on a st. line, find the value of p.<\/strong>
\nSolution:<\/strong><\/span>
\nLet the points to be A (1, 4), B (3, – 2) and C (p, – 5) are collinear and let B (3, – 2)
\ndivides AC in the ratio of m1 : m2
\n\"ML<\/p>\n

Question 6.<\/strong><\/span>
\nFind the inclination of the line joining the points P (4, 0) and Q (7, 3).<\/strong>
\nSolution:<\/strong><\/span>
\nSlope of the line joining the points P (4, 0) and Q (7, 3)
\n\"ML<\/p>\n

Question 7.<\/strong><\/span>
\nFind the equation of the line passing through the point of intersection of the lines 2x + y = 5 and x – 2y = 5 and having y-intercept equal to \\(– \\frac { 3 }{ 7 } \\)<\/strong>
\nSolution:<\/strong><\/span>
\nEquation of lines are
\n2x + y = 5 …(i)
\nx – 2y = 5 …(ii)
\nMultiply (i) by 2 and (ii) by 1, we get
\n4x + 2y = 10
\nx – 2y = 5
\nAdding we get,
\n\"ML<\/p>\n

Question 8.<\/strong><\/span>
\nIf the point A is reflected in the y-axis, the co-ordinates of its image A1<\/sub>, are (4, – 3),<\/strong>
\n(i) Find the co-ordinates of A<\/strong>
\n(ii) Find the co-ordinates of A2<\/sub>, A3<\/sub> the images of the points A, A1<\/sub>, Respectively under reflection in the line x = – 2<\/strong>
\nSolution:<\/strong><\/span>
\n(i) \u2235 A is reflected in the y-axis and its image is A1<\/sub> (4, – 3)
\nCo-ordinates of A will be ( – 4, – 3)
\n\"ML
\n\"ML<\/p>\n

Question 9.<\/strong><\/span>
\nIf the lines \\(\\frac { x }{ 3 } +\\frac { y }{ 4 } =7 \\) and 3x + ky = 11 are perpendicular to each other, find the value of k.<\/strong>
\nSolution:<\/strong><\/span>
\nGiven
\nEquation of lines are
\n\"ML<\/p>\n

Question 10.<\/strong><\/span>
\nWrite down the equation of a line parallel to x – 2y + 8 = 0 and passing through the point (1, 2).<\/strong>
\nSolution:<\/strong><\/span>
\nThe equation of the line is x – 2y + 8 = 0
\n=> 2y = x + 8
\n\"ML<\/p>\n

Question 11.<\/strong><\/span>
\nWrite down the equation of the line passing through ( – 3, 2) and perpendicular to the line 3y = 5 – x.<\/strong>
\nSolution:<\/strong><\/span>
\nEquations of the line is
\n3y = 5 – x
\n=> 3y = – x + 5
\n\"ML<\/p>\n

Question 12.<\/strong><\/span>
\nFind the equation of the line perpendicular to the line joining the points A (1, 2) and B (6, 7) and passing through the point which divides the line segment AB in the ratio 3 : 2.<\/strong>
\nSolution:<\/strong><\/span>
\nLet slope of the line joining the points A (1, 2) and B (6, 7) be m1<\/sub>
\n\"ML
\n\"ML<\/p>\n

Question 13.<\/strong><\/span>
\nThe points A (7, 3) and C (0, – 4) are two opposite vertices of a rhombus ABCD. Find the equation of the diagonal BD.<\/strong>
\nSolution:<\/strong><\/span>
\nSlope of line AC (m1<\/sub>)
\n\"ML
\n\"ML<\/p>\n

Question 14.<\/strong><\/span>
\nA straight line passes through P (2, 1) and cuts the axes in points A, B. If BP : PA = 3 : 1, find:<\/strong>
\n\"ML
\n(i) the co-ordinates of A and B<\/strong>
\n(ii) the equation of the line AB<\/strong>
\nSolution:<\/strong><\/span>
\nA lies on x-axis and B lies on y-axis
\nLet co-ordinates of A be (x, 0) and B be (0, y) , and P (2, 1) divides BA in the ratio 3 : 1.
\n\"ML
\n\"ML<\/p>\n

Question 15.<\/strong><\/span>
\nA straight line makes on the co-ordinates axes positive intercepts whose sum is 7. If the line passes through the point ( – 3, 8), find its equation.<\/strong>
\nSolution:<\/strong><\/span>
\nLet the line make intercept a and b with the x-axis and y-axis respectively then the line passes through
\n\"ML
\n\"ML<\/p>\n

Question 16.<\/strong><\/span>
\nIf the coordinates of the vertex A of a square ABCD are (3, – 2) and the quation of diagonal BD is 3 x – 7 y + 6 = 0, find the equation of the diagonal AC. Also find the co-ordinates of the centre of the square.<\/strong>
\nSolution:<\/strong><\/span>
\nCo-ordinates of A are (3, – 2).
\n\"ML
\n\"ML
\n\"ML
\n\"ML<\/p>\n

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test<\/a> are helpful to complete your math homework.<\/p>\n

If you have any doubts, please comment below. APlusTopper<\/a>\u00a0try to provide online math tutoring for you.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test. ML Aggarwal SolutionsICSE SolutionsSelina […]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6768],"tags":[6795,6794,6796,6775,6793,6799,6798,39620,6776,39619],"yoast_head":"\nML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test. 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Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test. ML Aggarwal SolutionsICSE SolutionsSelina […]","og_url":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/","og_site_name":"A Plus Topper","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2018-10-08T11:51:19+00:00","article_modified_time":"2020-11-25T09:21:41+00:00","og_image":[{"url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/10\/ML-Aggarwal-Class-10-Solutions-for-ICSE-Maths-Chapter-12-Equation-of-a-Straight-Line-Chapter-Test-Q2.1.png"}],"twitter_card":"summary","twitter_misc":{"Written by":"Nirmala","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/www.aplustopper.com\/#organization","name":"Aplus Topper","url":"https:\/\/www.aplustopper.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/#logo","inLanguage":"en-US","url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/www.aplustopper.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/www.aplustopper.com\/#website","url":"https:\/\/www.aplustopper.com\/","name":"A Plus Topper","description":"Improve your Grades","publisher":{"@id":"https:\/\/www.aplustopper.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.aplustopper.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/#primaryimage","inLanguage":"en-US","url":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/10\/ML-Aggarwal-Class-10-Solutions-for-ICSE-Maths-Chapter-12-Equation-of-a-Straight-Line-Chapter-Test-Q2.1.png","contentUrl":"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2018\/10\/ML-Aggarwal-Class-10-Solutions-for-ICSE-Maths-Chapter-12-Equation-of-a-Straight-Line-Chapter-Test-Q2.1.png","width":304,"height":85,"caption":"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test Q2.1"},{"@type":"WebPage","@id":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/#webpage","url":"https:\/\/www.aplustopper.com\/ml-aggarwal-class-10-solutions-for-icse-maths-chapter-12-chapter-test\/","name":"ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 12 Equation of a Straight Line Chapter Test - 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