Home
Class 12
MATHS
Let P(a sectheta, btantheta) and Q(asec...

Let `P(a sectheta, btantheta) and Q(asecphi , btanphi)` (where `theta+phi=pi/2` be two points on the hyperbola `x^2/a^2-y^2/b^2=1` If `(h, k)` is the point of intersection of the normals at `P and Q` then `k` is equal to

A

`(a^(2)+b^(2))/(a)`

B

`-(a^(2)+b^(2))/(a)`

C

`(a^(2)+b^(2))/(b)`

D

`-(a^(2)+b^(2))/(b)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|19 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Let P(a sec theta,b tan theta) and Q(a sec c phi,b tan phi) (where theta+phi=(pi)/(2) be two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 If (h,k) is the point of intersection of the normals at P and Q then k is equal to (A) (a^(2)+b^(2))/(a)(B)-((a^(2)+b^(2))/(a))( C) (a^(2)+b^(2))/(b)(D)-((a^(2)+b^(2))/(b))

Point of intersection of normal at P(t1) and Q(t2)

Let A(sec theta , 2 tan theta) and B(sec phi , 2 tan phi) , where theta+phi=pi//2 be two points on the hyperbola 2x^(2)-y^(2)=2 . If (alpha, beta) is the point of the intersection of the normals to the hyperbola at A and B, then (2beta)^(2) is equal to _________.

If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta+pi=(phi)/(2) be two distainct points on the hyperbola then the ordinate of the point of intersection of the normals at p and Q is

If P(theta),Q(theta+(pi)/(2)) are two points on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and a is the angle between normals at P and Q, then

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.