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The number of integer x satisfying sin^(...

The number of integer x satisfying `sin^(-1)abs(x-2)+cos^(-1)(1-abs(3-x))=pi/2` is

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. There exists a positive real number x satisfying cos(tan^(-1)x)=x. The...

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  2. If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0), then

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  3. The number of integer x satisfying sin^(-1)abs(x-2)+cos^(-1)(1-abs(3-x...

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  4. The number of solution of the equation cos^(-1)((1+x^(2))/(2x))-cos^(-...

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  5. If y=tan^(-1)""1/2+tan^(-1)b, (0 lt b lt 1) and 0 lt y le pi/4, then t...

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  6. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x, then x =

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  7. If x(1)=2tan^(-1)((1+x)/(1-x)), x(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," w...

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  8. If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2...

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  9. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2).x^(2))/(x^(4)+2x^(2)+...

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  10. If sin^(-1)x=theta+beta and sin^(-1)y=theta-beta, then 1 + xy is equal...

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  11. If alpha in (-(3pi)/2,-pi), then the value of tan^(-1)(cot alpha)-cot^...

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  12. If sin^(-1)x:[-1, 1] to [pi/2, (3pi)/2] and cos^(-1)x:[-1, 1] to [0, p...

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  13. The value of 2tan^(-1)(cosec(tan^(-1)x)-tan(cot^(-1)x)) is equal to

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  14. If sin^(-1)a+sin^(-1)b+sin^(-c)=pi, then the value of asqrt((1-a^(2)))...

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  15. If abs(sin^(-1)x)+abs(cos^(-1)x)=pi/2, then x in

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  16. f(x)=tan^(-1)x+tan^(-1)(1/x), g(x)=sin^(-1)x+cos^(-1)x are identical f...

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  17. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

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  18. If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=

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  19. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

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  20. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)""1/x=tan^(-1)""1/3, then x is equ...

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