Question

The value of k for which equation 3x+5y=0 and Kx+10y =0 has a non zero solution is ?

Answer 1

Step-by-step explanation:

The given system is

3x +5y 0

-()

kx+10y = 0

This is a homogeneous system of

linear differential equation, so it

always has a zero solution i.e., x = y

= 0.

But to have a non-zero solution, it

must have infinitely many solutions.

For this, we have

b2

a2

» k= 6

Hence, k = 6.