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He has been teaching from the past 9 years. Example 14 Find the value of k if the points A (2, 3), B (4, k) and C (6, –3) are collinear. Login to view more pages. Coordinate Geometry. Services, Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More, Working Scholars® Bringing Tuition-Free College to the Community. Using the above concept, we can find the missing coordinate in the given points. Area of ABC = 0 -2) and C (-3, 4). Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. 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. 7 7k + 5k + 10 9 = 0 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. (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. i.e. Here Check - Coordinate Geometry - Class 10, Ex 7.3 , 2 k = ( 18)/( 6) the will not form triangle Let the given points be A(8, 1) , B(k, 4) , C(2, 5) 1/2 [ 8( 4 ( 5)) + k( 5 1) + 2(1 ( 4)) ] = 0 they will lie on the same line, Let the given points be A(7, 2) , B(5, 1) , C(3, k) Terms of Service. Find the values of k for which the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k - 1, 5k) are collinear. 1/2 [ 7(1 k) + 5(k ( 2)) + 3( 2 1) ] = 0 Find the value of k, if the points (-2,5), (-5,-10) and (k,-13) are collinear. x2 = 5 , y2 = 1 {/eq}, Become a Study.com member to unlock this k = ( 8)/( 2) Given three points, arc collinear if. In each of the following find the value of k , for which the points are collinear. or We can say that Create your account. Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. (x_1,y_1) , (x_2, y_2) k = 4 the will not form triangle asked Oct 2, 2018 in Mathematics by Samantha ( 38.8k points) coordinate geometry (7, 2), (5, 1), (3, k) Area of ABC = 0 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 8(1) + k( 6) + 2(5) = 0 2k = 8 7k + 5k = 10 + 9 7 If the above points are collinear, Learn Science with Notes and NCERT Solutions. 2k = 8 The idea is to understand that if three points are collinear they lie on the same line. Question 1 : Find the value of ‘a’ for which the given points are collinear. All other trademarks and copyrights are the property of their respective owners. Putting values 8( 4 + 5) + k( 6) + 2(1 + 4) = 0 2 7(1 k) + 5(k +2) + 3( 3) = 0 2 answer! 1/2 [ x1(y2 y3) + x2(y3 y1) + x3(y1 y2) ] = 0 k = 3. The slope of a line joining {eq}\displaystyle This problem involves finding the coordinates of a point if it is collinear with the other given points. We need to find the value of {eq}\displaystyle x3 = 3 , y3 = k He provides courses for Maths and Science at Teachoo. 6k = 10 8 If the above points are collinear, they will lie on the same line, i.e. 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 or We can say that x1 = 7 , y1 = 2 x3 = 2 , y3 = 5 k they will lie on the same line, x2 = k , y2 = 4 x1 = 8 , y1 = 1 Putting values Teachoo provides the best content available! 6k = 18 If the above points are collinear, Zigya App. Ex 7.3 , 2 (-2,5), (-5,-10) Find the value of ‘K’ if the points (K, 3), (6, -2) and (-3, 4) are collinear. 8 6k + 10 = 0 Learn all Concepts of Chapter 7 Class 10 (with VIDEOS). {/eq} and... Our experts can answer your tough homework and study questions. Solved Questions. (ii) (8, 1), (k, 4), (2, 5) On signing up you are confirming that you have read and agree to © copyright 2003-2020 Study.com. Let the given points be A (K. 3), B (6. In each of the following find the value of k , for which the points are collinear. Ex 7.3 , 2 In each of the following find the value of k , for which the points are collinear. {/eq} such that the points {eq}\displaystyle (2, 3), (4, a) and (6, –3) Solution : 1/2 [ x1(y2 y3) + x2(y3 y1) + x3(y1 y2) ] = 0 All rights reserved. Sciences, Culinary Arts and Personal Here Teachoo is free. 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.

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