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The equation of the tangent to the parab...

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`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The equation of the tangent to the parabola y^(2) = 8x which is perpendicular to the line x-3y+8=0 is -

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

  • 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`

  • 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
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