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