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The equation of common tangent to the cu...

The equation of common tangent to the curves `y^2 =4x` and `xy=2` is (A) `x+2y-4=0` (B) `x+2y+4=0` (C) `x-2y+4=0` (D) `x-2y-4=0`

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Knowledge Check

  • The equation of common tangent to the curve y^2=4x and xy=-1 is

    A
    `2^(2/3)*y=x+2^(4/3)`
    B
    `2^(2/3)*x=y+2^(4/3)`
    C
    `y=2^(2/3)*x-2^(4/3)`
    D
    `y=x-2^(2/3)`

  • The equation of common tangent to the curves y^(2)=16x and xy=-4 is

    A
    `y=x+4`
    B
    `2x-y+8=0`
    C
    x+y=4
    D
    `2x+y+4=0`

  • The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

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

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    Equation of a common tangent to the circle x^(2) + y^(2) - 6x = 0 and the parabola, y^(2) = 4x , is

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