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

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