Question

If a e R and the system of equations x +
ay = 0, az + y = 0, ax + z=0 has infinite number of solution
then the value of a is​

Answer 1

Answer:

Correct option is C)

△=0⇒

∣

∣

∣

∣

∣

∣

∣

∣

1

0

a

a

1

0

0

a

1

=0or1+a

3

=0

or (1+a)(1−a+a

2

)=0∴a=−1.

The other factor does not give real value of a