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Two perpendicular tangents to y^(2)=4ax ...

Two perpendicular tangents to `y^(2)=4ax` always intersect on the line-

A

`x=a`

B

`x+a=0`

C

`x+2a=0`

D

`x=2a`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The point of intersection of the tangents to the parabola y^(2)=4ax at the points t_(1) and t_(2) is -

    A
    `{2at_(1)t_(2), a(t_(1)+t_(2))}`
    B
    `{2at_(1)t_(2), 2a(t_(1)+t_(2))}`
    C
    `{at_(1)t_(2), a(t_(1)+t_(2))}`
    D
    none of these

  • The locus of the point of intersection of a pair of perpendicular tangents to an ellipse is a/an-

    A
    parabola
    B
    ellipse
    C
    hyperbola
    D
    circle

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