Question

Find the value of $\lambda$ if $\lambda$ $x^2$ + ( ${\lambda }^2$ - $\lambda$) x + 1 = 0 is an identity.

• A. 0
• B. -1
• C. 1
• D. No value of λ

Answer 1

The correct option is D

No value of λ

For it to be an identity, $\lambda$ = 0, ${\lambda }^2$ - $\lambda$ = 0, 1 = 0 which is not true. The constant term should also be 0, which is not so $\lambda$$x^2$ + (${\lambda }^2$ - $\lambda$)x + 1 = 0 is not an identity.