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Q. Let f (x)=sin^3x+ lambdasin^2x where...

Q. Let `f (x)=sin^3x+ lambdasin^2x` where `(pi)/2 ltxlt (pi)/2.` The interval in which `lambda`should lie in order that f (x) has exactly one minimum and exactly one maximum is

A

`(-3//2,3//2)`

B

`(-2//3 ,2//3)`

C

`R`

D

none of these

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The correct Answer is:
D
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