Home
Class 12
MATHS
The locus of foot of the perpendiculars ...

The locus of foot of the perpendiculars drawn from the vertex on a variable tangent to the parabola `y^2 = 4ax` is

A

the directrix

B

the tangent at the vertex

C

x=a

D

x=0

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the foot of the perpendicular drawn from a fixed point to any tangent to a parabola.

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

The locus of the foot of the perpendicular drawn from the origin to any tangent to the hyperbola (x^(2))/(36)-(y^(2))/(16)=1 is

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of foot of the perpendicular drawn from a fixed point (2,3) to the variable line y=mx, m being variable is

The locus of foot of the perpendicular drawn from a fixed point (a,b) to the variable line y y=mx,m^( ' being variable is )

If the locus of the foot of the perpendicular drawn from centre upon any tangent to the ellipse (x^(2))/(40)+(y^(2))/(10)=1 is (x^(2)+y^(2))^(2)=ax^(2)+by^(2) , then (a-b) is equal to

Let Q be the foot of the perpendicular from the origin O to the tangent at a point P(alpha, beta) on the parabola y^(2)=4ax and S be the focus of the parabola , then (OQ)^(2) (SP) is equal to