Home
Class 10
MATHS
For what value(s) of k, the pair of line...

For what value(s) of k, the pair of linear equations -2x + 5y = 0 and kx + 3y = 0 has a non-zero solutions?

Text Solution

Verified by Experts

The system of equations has a non-zero solution, if
`(a_(1))/(a_(2)) = (b_(1))/(b_(2))`
implies `(-2)/(k) = (5)/(3) implies k = - (6)/(5)`
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3b|30 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

For what value of k the pair of linear equations kx - y = 2 and 6x - 2y = 3 has unique solution.

For what value of K, the pair of equations 2x - 3y = 1 and kx + 5y = 7 has a unique solution?

Sam went for an outing with his friends.They went to dominos to enjoy the delicious pizza. He was enjoying the pizza with his friends and share with them by slicing it. During slicing the pizza. he noticed that the pair of linear equations formed. (i.e.,straight lines) Let these pair of linear equations be y - 2x = 1 and 5y-x=14. For what value(s) of k, the system of linear equations 2x-ky + 3 = 0 and 3x+ 2y,-1=0 has no solution

Find the value of k for which pair of linear equations 3x + 2y = –5 and x – ky = 2 has a unique solution.

Find the value of k for which the system of equations 3x + 5y = 0 , k x + 10 y = 0 has a nonzero solution.

For what value of k, the system of equations 8x + 5y = 9 and kx + 10y = 18 has infinitely many solutions?

Find the value of 'k' for which the system of linear equation kx + 2y = 5 and 3x + y =1 has zero solutions

Find the value of k for which the pair of linear equations kx + 3y = k-3, 12x + ky = k has no solution.

Find the value of K for which the pair of linear equations kx - y = 2 and 6x - 2y = 3 will have no solutions.