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Question

Mathematics Question on geometric progression

Let,f(θ)=sin4θ+3cos2θsin4θ+cos2θ,f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:

A

32

B

64

C

96

D

108

Answer

96

Explanation

Solution

The Correct answer is option is (C) : 96