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The set of values of alpha for which the...

The set of values of `alpha` for which the point `(alpha,1)` lies inside the curves `c_1: x^2+y^2-4=0` and `c_2: y^2=4x` is `|alpha|`

A

`|alpha|ltsqrt(3)`

B

`|alpha|lt2`

C

`(1)/(4)ltalphaltsqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
(3) We must have
`alpha^(2)+1-4lt0and1-4alphalt0`
`rArralpha^(2)lt3andalphagt(1)/(4)`
`rArr-sqrt(3)ltalphaltsqrt(3)andalphagt(1)/(4)`
`rArr(1)/(4)ltalphaltsqrt(3)`
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