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If x gt 0, then the value of sin[cot^(-1...

If `x gt 0`, then the value of `sin[cot^(-1)cos(tan^(-1)x)]` is equal to -

A

`sqrt((x^(2)-1)/(x^(2)+2))`

B

`sqrt((x^(2)+1)/(x^(2)+2))`

C

`sqrt((x-2)/(x^(2)+2))`

D

`sqrt((x^(2)-1)/(x^(2)-2))`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  2. In a bolt factory three machines A, B and C manufacture respectively 2...

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  3. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

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  4. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

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  7. In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that...

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  8. If the probability that a randomly selected bulb produced by a factory...

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  12. The coordinates of the point of intersection of the lines vecr=(hati+...

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  13. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

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  14. The equation of the plane passing through the point (1, -3, -2) and pe...

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  15. If a, b be two fixed positive integers such that f(a+x)=b+[b^(3)+1-3...

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  16. The derivative of the function (sec x+tan x)/(sec x-tanx) is -

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  17. If y=sin x^(@) and z=log(10)x, then the value of ( dy)/(dz) is -

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  18. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  19. If x=sin t and y=cos p t, then which of the following is true ?

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  20. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), if a=4,...

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