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Set of value of alpha for which the poin...

Set of value of `alpha` for which the point `(alpha,1)` lies inside the circle `x^(2)+y^(2)-4=0` and parabola `y^(2)=4x` is

A

A) `|alpha|ltsqrt(3)`

B

B) `|alpha|lt2`

C

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

D

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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