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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|lt sqrt3`

B

`|alpha | lt 2`

C

`1/4 lt alpha lt sqrt3 `

D

none of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • 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
    `|alpha|ltsqrt(3)`
    B
    `|alpha|lt2`
    C
    `(1)/(4)ltalphaltsqrt(3)`
    D
    none of these

  • The range of 'alpha' for which the point (alpha, alpha) lies in minor arc bounded by the curves x^(2)+y^(2)=1 and x+y=1 is

    A
    `(1)/(2)lt alpha (1)/(sqrt(2))`
    B
    `-(1)/(sqrt(2)) lt alpha lt (1)/(sqrt(2))`
    C
    `alpha gt (1)/(2)`
    D
    `0 lt alpha lt (1)/(2)`

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