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find the common tangents of the circle...

find the common tangents of the circle `x^2+y^2=2a^2` and the parabola` y^2=8ax`

A

`x = pm ( y + 2a)`

B

`y = pm (x + 2a)`

C

`x = pm (y +a)`

D

`y = pm (x +a )`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Equations of the common tangents of the circles x^2+ y^2 = 2a^2 and the parabola y^2 = 8ax are

    A
    `y=+-(x+a)`
    B
    `y=+-(x+2a)`
    C
    `y=+-(2x+a)`
    D
    none

  • The equation of common tangent to the circle x^(2) + y^(2) = 2 and the parabola y^(2) = 8x is x + y = k . Then value of k is

    A
    1
    B
    `-1`
    C
    2
    D
    `-2`

  • The equation of the common tangents to the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x the x-axis, is

    A
    `sqrt3y=3x+1`
    B
    `sqrt3y=-(x+1)`
    C
    `sqrt3y=(x+1)`
    D
    `sqrt3y=-(3x+1)`

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