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If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x, th...

If `sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x`, then `x` belongs to

A

`1,-1`

B

`1,0`

C

`0,1//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x then x equals

    A
    1,-1
    B
    1,0
    C
    `0,1/2`
    D
    none of these

  • If sin^(-1)x+sin^(-1)(1-x)+cos^(-1)x=0 , then x is

    A
    0
    B
    1
    C
    2
    D
    No real value

  • If sin^(-1)(1-x)-2sin^(-1)x=cos^(-1)x , then x=

    A
    `0, (1)/(2)`
    B
    `1`
    C
    `0`
    D
    `(1)/(2)`

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