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Let the roots of f(x)=xbe alpha and beta...

Let the roots of f(x)=xbe `alpha` and `beta` where f(x) is quadratic polynomial `ax^2+bx+c.alpha` and `beta` are also the roots of f(f(x))=x. Let the other two roots of f(f(x))=x be `gamma` and `lamda`
Statement I : if `alpha` and `beta` are real unequal then `gamma` and `lamda` are also real.
Statement II : if `alpha` and `beta` are imaginary then `gamma` and `lamda` are also imaginary.
The correct statement are

A

I only`

B

II only

C

both I and II

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
B
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