Q30 of 44 Page 3

Find the value of k for which the system of equations

5x - 3y = 0, 2x + ky = 0 has a nonzero solution. (CBSE 2009)

Given: 5x - 3y = 0 – eq 1


2x + ky = 0 – eq 2


Here,


a1 = 5, b1 = - 3, c1 = 0


a2 = 2, b2 = k, c2 = 0


Here,


Given that system of equations has non zero solution.


∴ =


=


Here,


=


5×k = - 3×2


5k = 6


K =


∴

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