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If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(...

If `cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x`, then `x` is

A

`(a-b)/(1+ab)`

B

`(b-a)/(1 + ab)`

C

`(a +b)/(1 - ab)`

D

None of these

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The correct Answer is:
A
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  14. The number of integer x satisfying sin^(-1)|x-2|+cos^(-1)(1-|3-x|)=pi/...

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  19. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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