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The set of all real values of x satisfyi...

The set of all real values of x satisfying `sin^(-1)sqrt(x)lt(pi)/(4)`, is

A

`(0,(1)/(2))`

B

`[0,(1)/(2))`

C

`(0,(1)/(2)]`

D

`[0,(1)/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
We have `sin^(-1)sqrt(x)lt (pi)/(4)`
`therefore 0 le x le 1` ….(1)
Also, `sqrt(x) lt (1)/(sqrt(2))rArr x lt (1)/(2)` …(2)
From (1) and (2), we get
`rArr x in [0,(1)/(2))`
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