1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards
  3. CBSE Class 10 Sample Paper for 2018 Boards
Check sibling questions

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

Last updated at Dec. 16, 2024 by Teachoo

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/

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
  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

    3. CBSE Class 10 Sample Paper for 2018 Boards

    Chapter 1 Class 11 Sets →
Chapter 1 Class 11 Sets →
Class 10
Solutions of Sample Papers for Class 10 Boards

About the Author

Davneet Singh

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