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If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2, ...

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

A

ab

B

2ab

C

`sqrt(ab)`

D

`sqrt(2ab)`

Text Solution

Verified by Experts

The correct Answer is:
C
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
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  2. If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

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  3. If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2, then: x=

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  4. If y = cot^(-1)(sqrt(tanalpha))-tan^(-1) (sqrt(tanalpha)), " than: " t...

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  5. sin{cot^(-1)[cos(tan^(-1)x)]}=....

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  6. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

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  7. If sin^(-1)x-cos^(-1)x=(pi)/(6), " then :" x=

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  8. tan^-1((x+1)/(x-1))+tan^-1((x-1)/x)=tan^-1(-7)

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  9. sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

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  10. If sin^(-1)x+cot^(-1)(1/2)=(pi)/(2), " then : " x=

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  11. sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

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  12. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  13. If tan^(-1) 3 +tan^(-1)x=tan^(-1)87 then x =

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  14. Solve for x: tan^-1(x+1)+tan^-1(x-1)=tan^-1(8/31)

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  15. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

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  16. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is

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  17. If sin^(-1)x=(pi)/(5) " for some x"in(-1,1) , "then : "cos^(-1)x=....

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  18. Simplify the following: Evaluate tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  19. The domain of the function f(x)=(sqrt(9-x^(2)))/(sin^(-1)(3-x)) is

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  20. The domain of the function f(x)=sqrt(5-x)+cos^(-1)((3-2x)/(7)) is

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