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if 6sin^-1(x^2-6x+12)=2pi, then the va...

if `6sin^-1(x^2-6x+12)=2pi`, then the value of `x`, is

A

1

B

2

C

3

D

does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
We have
`x^(2)-6x+12=(x-3)^(2)+3ge3e` for all x
`therefore sin^(-1)(x^(2)-6x+12)` does not exist
Thus there is no value of x satisfying the given equation
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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