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Let f (x) =x^(2)+ lamda x+ mu cos x, lam...

Let `f (x) =x^(2)+ lamda x+ mu cos x, lamda` being an integer and `mu` is a real number. The number of ordered pairs `(lamda, mu)` for which the equation `f(x) =0 and f (f (x))=0` have the same (non empty) set of real roots is:

A

2

B

3

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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