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If two tangents drawn from a point P to ...

If two tangents drawn from a point P to the parabola `y^2 = 4x` are at right angles, then the locus of P is

A

2x-1=0

B

x=1

C

2x+1=0

D

x=-1

Text Solution

Verified by Experts

The correct Answer is:
D
4
The locus of the perpendicular tangents is the directrix , hance, the locus of P is x=-1.
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Knowledge Check

  • The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

    A
    `(pi)/(2)`
    B
    `(pi)/(6)`
    C
    `(pi)/(4)`
    D
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    A
    `90^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `30^(@)`

  • From the point (-1, -6) two tangents are drawn to the parabola y^(2)= 4x . Then the angle between the tangents is-

    A
    ` 30 ^(@)`
    B
    ` 45 ^(@)`
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    ` 90 ^(@)`
    D
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