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The equation of common tangent to the pa...

The equation of common tangent to the parabola `y^2 =8x` and hyperbola `3x^2 -y^2=3` is

A

`2x-y+1=0`

B

`2x-y-1=0`

C

`2x+y+1=0`

D

`2x+y-1=0`

Text Solution

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The correct Answer is:
A, C
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Knowledge Check

  • The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is

    A
    `2xpmy+1=0`
    B
    `xpmy+1=0`
    C
    `xpm2y+1=0`
    D
    `xpmy+2=0`

  • Equation of a common tangent to the parabola y^(2)=4x and the hyperbola xy=2 is

    A
    x+2y+4=0
    B
    x-2y+4=0
    C
    x+y+1=0
    D
    4x+2y+1=0

  • The equation of the common tangent to the parabola y^2=8x and rectangular hyperbola xy=-1 is

    A
    x-y+2=0
    B
    9x-3y+2=0
    C
    2x-y+1=0
    D
    x+2y-1=0

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