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The number of solutions of the equation ...

The number of solutions of the equation `cos^(-1)((1+x^2)/(2x))-cos^(-1)x=pi/2+sin^(-1)x` is 0 (b) 1 (c) 2 (d) 3

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
b
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Knowledge Check

  • 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

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    1
    B
    2
    C
    0
    D
    none

  • The solution of the equation cos^(-1)x+cos^(-1)2x=(2pi)/(3) is

    A
    `x=pm(sqrt3)/(sqrt28)`
    B
    `x =pm(sqrt3)/(sqrt26)`
    C
    `x=pm(1)/(sqrt2)`
    D
    `x=pm(sqrt3) /(sqrt38) `

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