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Number of solutions (s) of the equations...

Number of solutions (s) of the equations
`cos^(-1) ( 1-x) - 2 cos^(-1) x = pi/2` is

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  6. There exists a positive real number x satisfying cos ( tan^(-1)x) = ...

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  9. Which of the following is the solution set of the equations sin^(-1) x...

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  11. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

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  13. If cos^(-1) . x/a - sin^(-1). y/b = theta (a , b , ne 0), then the max...

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  14. The value of Sigma(r=1)^(infty) tan^(-1) ( 1/(r^(2) + 5r + 7)) is equ...

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  15. The range of the function , f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(...

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  16. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

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  17. Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1...

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  18. Number of values of x satisfying the equation cos ( 3 arc cos ( x-1)) ...

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  19. Which one of the following function contains only one integer in its ...

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  20. If range of the function f(x) = tan^(-1) ( 3x^(2) + bx + 3) , x in R "...

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