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

If the 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 tangents at the points t_(1) and t_(2) on the parabola y^(2)=4ax are at right angles then:

    A
    `t_(1)t_(2)=-2`
    B
    `t_(1)t_(2)=2`
    C
    `t_(1)t_(2)=-1`
    D
    `t_(1)t_(2)=1`

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

    A
    `pi/2`
    B
    `pi/3`
    C
    `pi/4`
    D
    `pi/5`

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