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Consider the equation sin^(-1)(x^(2)-6x...

Consider the equation `sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2)`, then :

A

the largest value of k for which equation has 2 distinct solution is 1

B

the equation must have real root if `k in (-(1)/(2), 1)`

C

the equation must have real root if `k in (-1, (1)/(2))`

D

the equation has unique solution if `k=-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
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