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The equation of a common tangent to y^(2...

The equation of a common tangent to `y^(2)=4x` and the curve `x^(2)+4y^(2)=8` can be

A

`x-2y+2=0`

B

`x+2y+4=0`

C

`x-2y=4`

D

`x+2y=4`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The equation of a common tangent to the curves y^(2)=8x & xy= -1 is

    A
    `y= x+2`
    B
    `y=2x+1`
    C
    `y=(x)/(2)+4`
    D
    `y=3x+(2)/(3)`

  • 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`

  • 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)`

    • Similar Questions

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    The equation of a common tangent to the parabola y=2x and the circle x^(2)+y^(2)+4x=0 is

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    The equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x below the x-axis is

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