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माना alpha =2tan^(-1)1/2 + sin^(-1)3/5 ...

माना `alpha =2tan^(-1)1/2 + sin^(-1)3/5` तथा `beta = sin^(-1) 12/13 + cos^(-1)4/5 + cos^(-1)16/63` इस प्रकार है `2 sin alpha` इस प्रकार है कि `2 sin alpha` एवं `cos beta` समीकरण `x^(2)-ax+b=0` के मूल है, जहाँ `a, b in R` है।
फलन `f(x) = cot^(-1)(x^(2) + bx)` का परिसर है-

A

`(0,pi/4]`

B

`(0,pi)`

C

`(0,(3pi)/4]`

D

`[(3pi)/4,pi)`

लिखित उत्तर

Verified by Experts

The correct Answer is:
C
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