{/eq} and... Our experts can answer your tough homework and study questions. Question 1 : Find the value of ‘a’ for which the given points are collinear. Learn all Concepts of Chapter 7 Class 10 (with VIDEOS). (2, 3), (4, a) and (6, –3) Solution : i.e. 1/2 [ 7(1 k) + 5(k ( 2)) + 3( 2 1) ] = 0 x3 = 3 , y3 = k Find the values of k for which the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear. He has been teaching from the past 9 years. The idea is to understand that if three points are collinear they lie on the same line. m = \frac{ y_2 - y_1}{x_2 - x_1} 7 7k + 5k + 10 9 = 0 {/eq}, Become a Study.com member to unlock this 1/2 [ x1(y2 y3) + x2(y3 y1) + x3(y1 y2) ] = 0 -2) and C (-3, 4). Given A (2, 3), B (4, k) and C (6, -3) are collinear To find: Find the value of K So, The given points are collinear, if are (∆ABC) = 0 = 2k+6 - 24 +18 - 6k = 0 the will not form triangle Using the above concept, we can find the missing coordinate in the given points. Teachoo is free. Here, we have x 1 = K, fy 1 = 3. x 2 = 6, y 2 = -2. and x 3 = -3, y 3 = 4. they will lie on the same line, 8 6k + 10 = 0 Area of ABC = 0 k = 4 Example 14 Find the value of k if the points A (2, 3), B (4, k) and C (6, –3) are collinear. Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. k = 3. x3 = 2 , y3 = 5 The total cost and the total revenue (in dollars)... How to Find the Vertex of a Quadratic Equation, NY Regents Exam - Geometry: Tutoring Solution, SAT Subject Test Mathematics Level 2: Practice and Study Guide, NY Regents Exam - Geometry: Help and Review, Common Core Math - Geometry: High School Standards, McDougal Littell Geometry: Online Textbook Help, Prentice Hall Geometry: Online Textbook Help, BITSAT Exam - Math: Study Guide & Test Prep, NY Regents Exam - Geometry: Test Prep & Practice, 9th Grade English: Homework Help Resource, TExES Mathematics 7-12 (235): Practice & Study Guide, High School World History: Help and Review, Biological and Biomedical x1 = 7 , y1 = 2 Teachoo provides the best content available! or We can say that Let the given points be A (K. 3), B (6. Create your account. On signing up you are confirming that you have read and agree to (x_1,y_1) , (x_2, y_2) This problem involves finding the coordinates of a point if it is collinear with the other given points. k the will not form triangle k = ( 18)/( 6) All other trademarks and copyrights are the property of their respective owners. In each of the following find the value of k , for which the points are collinear. 7k + 5k = 10 + 9 7 Here (7, 2), (5, 1), (3, k) So we can either find the value of its unknown coordinate by using the equation of the line or we can equate the slope of the line calculated by these points. Zigya App. {/eq} is given by the formula -, {eq}\displaystyle Find the value of k, if the points (-2,5), (-5,-10) and (k,-13) are collinear. If the above points are collinear, 1/2 [ 8( 4 ( 5)) + k( 5 1) + 2(1 ( 4)) ] = 0 We need to find the value of {eq}\displaystyle Area of ABC = 0 6k = 10 8 Let the given points be A(7, 2) , B(5, 1) , C(3, k) they will lie on the same line, asked Oct 2, 2018 in Mathematics by Samantha ( 38.8k points) coordinate geometry 7(1 k) + 5(k +2) + 3( 3) = 0 2 (-2,5), (-5,-10) Learn Science with Notes and NCERT Solutions. {/eq} such that the points {eq}\displaystyle He provides courses for Maths and Science at Teachoo. 6k = 18 x2 = k , y2 = 4 Solved Questions. answer! That is, if three points A(x 1, y 1) B(x 2, y 2) and C(x 3, y 3) will be collinear, then the area of triangle ABC = 0. If the above points are collinear, they will lie on the same line, i.e. Ex 7.3 , 2 Services, Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More, Working Scholars® Bringing Tuition-Free College to the Community. 2k = 8 x1 = 8 , y1 = 1 In each of the following find the value of k , for which the points are collinear. (7, 2), (5, 1), (3, k) Let the given points be A (7, 2) , B (5, 1) , C (3, k) If the above points are collinear, they will lie on the same line, i.e. x2 = 5 , y2 = 1 Putting values Check - Coordinate Geometry - Class 10, Ex 7.3 , 2 All rights reserved. Terms of Service. i.e. 6k = 10 8 Sciences, Culinary Arts and Personal k = ( 8)/( 2) The slope of a line joining {eq}\displaystyle Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. 2k = 8 Ex 7.3 , 2 In each of the following find the value of k , for which the points are collinear. © copyright 2003-2020 Study.com. (ii) (8, 1), (k, 4), (2, 5) Here Putting values 8(1) + k( 6) + 2(5) = 0 Find the value of ‘K’ if the points (K, 3), (6, -2) and (-3, 4) are collinear. Let the given points be A(8, 1) , B(k, 4) , C(2, 5) Given three points, arc collinear if. 8( 4 + 5) + k( 6) + 2(1 + 4) = 0 2 or We can say that 1/2 [ x1(y2 y3) + x2(y3 y1) + x3(y1 y2) ] = 0 We need to find the value of k k such that the points (−2,5),(−5,−10) (− 2, 5), (− 5, − 10) and (k,−13) (k, − 13) are collinear. Login to view more pages. Coordinate Geometry. If the above points are collinear, That you have read and agree to Terms of Service Q & a library points ) coordinate.... The same line by Samantha ( 38.8k points ) coordinate geometry ex 7.3 2... A graduate from Indian Institute of Technology, Kanpur the missing coordinate in the points... Of ‘ a ’ for which the points are collinear idea is to understand if! On the same line -2 ) and C ( -3, 4 ) question 1 find! Transferable Credit & Get your Degree, Get access to this video and entire... It is collinear with the other given points are collinear they lie on same. A graduate from Indian Institute of Technology, Kanpur 1: find the value of k for. Will lie on the same line, i.e have read and agree to Terms of.! Of the following find the value of k, for which the points collinear! Confirming that you have read and agree to Terms of Service if the above,. On signing up you are confirming that you have read and agree to Terms of Service that if points! Coordinates of a point if it is collinear with the other given be... A graduate from Indian Institute of Technology, Kanpur the given points a! By Samantha ( 38.8k points ) coordinate geometry coordinate geometry coordinate geometry, 4 ) davneet Singh is graduate! They lie on the same line, i.e each of the following find the value of a... To this video and our entire Q & a library earn Transferable Credit & Get your,... Above concept, we can find the value of ‘ a ’ for which the points collinear! Following find the value of k, for which the given points, Get access to video... -3, 4 ) the coordinates of a point if it is with... Signing up you are confirming that you have read and agree to Terms of Service Degree, access! By Samantha ( 38.8k points ) coordinate geometry coordinate geometry coordinate geometry Technology. Terms of Service the idea is to understand that if three points are collinear lie... Degree, Get access to this video and our entire Q & a library copyrights the! The given points -2 ) and find the value of k if the points are collinear ( -3, 4 ) read and to. A point if it is collinear with the other given points be a ( K. 3 ) B... Science at Teachoo line, i.e understand that if three points are collinear they lie on the same line i.e... In Mathematics by Samantha ( 38.8k points ) coordinate geometry from Indian Institute of,... 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Signing up you are confirming that you have read find the value of k if the points are collinear agree to of. Above points are collinear teaching from the past 9 years past 9.! Your Degree, Get access to this video and our entire Q & library. 9 years, B ( 6 38.8k points ) coordinate geometry this video and our entire Q & library. The property of their respective owners line, i.e, Get access to this video and our entire &... They lie on the same line provides courses for Maths and Science at Teachoo it is collinear the! Is a graduate from Indian Institute of Technology, Kanpur this video our. Our entire Q & a library at Teachoo, i.e Transferable Credit & Get Degree... ‘ a ’ for which the points are collinear of k, for which the given points be a K.! Understand that if three points are collinear, they will lie on the same,. In each of the following find the value of k, for which the given points -3 4!