Class 10
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Question 9 - CBSE Class 10 Sample Paper for 2018 Boards - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

Find the value(s) of k for which the pair of linear equations k x + y = k 2 and x + k y = 1 have infinitely many solutions.

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

You can download the question paper here  https://www.teachoo.com/cbse/sample-papers/

Find values of k for which kx + y = k^2 and x + ky = 1 have infinitely

Question 9 - CBSE Class 10 Sample Paper for 2018 Boards - Part 2
Question 9 - CBSE Class 10 Sample Paper for 2018 Boards - Part 3

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Transcript

Question 9 Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions. kx + y = k2 i.e. kx + y k2 = 0 x + ky = 1 i.e. x + ky 1 = 0 kx + y k2 = 0 Comparing with a1x + b1y + c1 = 0 a1 = k , b1 = 1 , c1 = k2 x + ky 1 = 0 Comparing with a2x + b2y + c2 = 0 a2 = 1 , b2 = k , c2 = 1 Since equation has infinite number of solutions So, 1/ 2 = 1/ 2 = 1/ 2 Putting in values /1 = 1/ = ( ^2)/( 1) /1 = 1/ = ^2/1 Solving / = / k2 =1 k = 1 k = 1 So, k = 1, 1 Solving / = ^ / 1 = k3 k3 = 1 k3 = 13 k = 1 Therefore, k = 1 satisfies both equations. Hence k = 1 is the answer

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo