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The number of real solutions of the equa...

The number of real solutions of the equation `tan^(-1) sqrt( x ( x + 1)) + sin^(-1) sqrt(x^(2) + x + 1) = (pi)/(2)` is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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  3. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

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  4. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

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  5. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

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  6. If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(...

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  8. Let (x, y) be such that sin ^(-1)(alpha x)+cos ^(-1) y+cos ^(-1)(b x y...

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  9. Let cos (2 tan ^(-1) x)=(1)/(2) then the value fo x is

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  10. The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1...

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  11. If sin ^(-1) (3)/(x)+sin ^(-1) (4)/(x)=(pi)/(2) then x=

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

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  17. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

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  18. If agtbgt0,sec^(-1)((a+b)/(a-b))=2"sin"^(-1)x, then x =

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  20. If x takes negative permissible value, then sin^(-1)x is equal to

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