Home
Class 12
MATHS
The tangent at a point P on the hyperbol...

The tangent at a point `P` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` passes through the point `(0,-b)` and the normal at `P` passes through the point `(2asqrt(2),0)` . Then the eccentricity of the hyperbola is

A

`(5)/(4)`

B

`(3)/(2)`

C

`sqrt(2)`

D

`2sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find the equations of the tangent and normal to the hyperbola x^2/a^2 - y^2/b^2 = 1 at the point (x_0,y_0)

Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1. If the normal at point P intersects the x-axis at (9, 0), then find the eccentricity of the hyperbola.

A tangent to the hyperbola y = (x+9)/(x+5) passing through the origin is

The circle passing through the point ( -1,0) and touching the y-axis at (0,2) also passes through the point.

If alpha+beta=3pi , then the chord joining the points alpha and beta for the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through which of the following points? Focus (b) Center One of the endpoints of the transverse exis. One of the endpoints of the conjugate exis.

Find the equation of the normal to curve x^2 = 4y which passes through the point (1, 2).

For the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , let n be the number of points on the plane through which perpendicular tangents are drawn.

Find the equation of the hyperbola passing through the points (2, 1) and (4, 3).