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The equation of a tangent to the hyperbo...

The equation of a tangent to the hyperbola `x^(2)-2y^(2)=2` parallel to the line `2x-2y+5=0` is-

A

`y=2x+1`

B

`y=2x-1`

C

`y= x +- 1`

D

`x+y+1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The equation of the tangent to the parabola y^(2) = 4x + 5 which is parallel to the line y= 2x + 7 is-

    A
    `y= 2x -3`
    B
    `y=2x+3`
    C
    `y= 2x-5`
    D
    `y= 2x +5`

  • If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y - 6 =0 parallel to the line 3x - 4y +7 =0 is 3x - 4y +k=0 , then the value of k is-

    A
    `5, -35`
    B
    ` -5, 35`
    C
    `7, -32`
    D
    `-7, 32`

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    Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

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