Home
Class 12
MATHS
If two tangents drawn from a point P to ...

If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) `2x""+""1""=""0` (2) `x""=""1` (3) `2x""""1""=""0` (4) `x""=""1`

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.
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE|Exercise JEE Advenced Single Answer Type|18 Videos

  • PARABOLA

    CENGAGE|Exercise Single Correct Answer Type|46 Videos

  • PARABOLA

    CENGAGE|Exercise Exercise (Numerical)|28 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise (Numerical)|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE|Exercise Question Bank|19 Videos

Similar Questions

Explore conceptually related problems

If two tangents drawn from a point P to the parabola y^(2)=16 (x-3) are at right angles, then the locus of point P is :

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

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

The angle between tangents drawn from a point P to the circle x^2+y^2+4x-2y-4=0 is 60^@ Then locus of P is

Perpendicular tangents are drawn from an external point P to the parabola y^2=16(x-3) Then the locus of point P is