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

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