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If [int0^1(dt)/(t^2+2tcosalpha+1)]x^2-[i...

If `[int_0^1(dt)/(t^2+2tcosalpha+1)]x^2-[int_- 3^3(t^2sin2t)/(t^2+1)dt]x-2=0 (0 < alpha < pi)` then the value of x is (i)`+-sqrt((alpha)/(2sinalpha))` (ii)`+-sqrt((2sinalpha)/alpha)` (iii) `+-sqrt(alpha/sinalpha)` (iv) `+-2sqrt(sinalpha/alpha)`

A

`pm(sqrt(alpha )/(2 sin alpha))`

B

`pmsqrt((2 sin alpha )/(alpha))`

C

`pmsqrt(( alpha)/( sin alpha))`

D

`pmsqrt((sin alpha)/(alpha))`

Text Solution

Verified by Experts

The correct Answer is:
D
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