Home
Class 12
MATHS
The point of intersection of the tangent...

The point of intersection of the tangents at the point `P` on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and its corresponding point `Q` on the auxiliary circle meet on the line `x=a/e` (b) `x=0` `y=0` (d) none of these

A

x = a/e

B

x=0

C

y=0

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MOTION|Exercise Exercise - 2 (Level-II) Multiple Correct | JEE Advanced|5 Videos
  • ELLIPSE

    MOTION|Exercise Exercise - 3 | Subjective | JEE Advanced|21 Videos
  • ELLIPSE

    MOTION|Exercise Exercise - 1 Objective Problems | JEE Main|15 Videos
  • DIFFERENTIAL EQUATION

    MOTION|Exercise Exercise 4|29 Videos
  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the tangents at the point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=(a)/(e) (b) x=0 (c) y=0 (d) none of these

the locus of the point of intersection of tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which meet at right , is

The line x=at^(2) meets the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in the real points if

Let a tangent at a point P to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meets directrix at Q and S be the correspondsfocus then /_PSQ

P is a point on the ellipse x^2/(25)+y^2/(9) and Q is corresponding point of P on its auxiliary circle. Then the locus of point of intersection of normals at P" & "Q to the respective curves is

P is a point on the ellipse E:x^2/a^2+y^2/b^2=1 and P' be the corresponding point on the auxiliary circle C: x^2+y^2=a^2 . The normal at P to E and at P' to C intersect on circle whose radius is

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is