Home
Class 12
MATHS
Tangents are drawn from any point on the...

Tangents are drawn from any point on the circle `x^(2)+y^(2) = 41` to the ellipse `(x^(2))/(25)+(y^(2))/(16) =1` then the angle between the two tangents is

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(6)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Given circle is director circle, so angle between tangents is `(pi)/(2)`.
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos
  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos
  • ELLIPSE AND HYPERBOLA

    CENGAGE|Exercise Question Bank|1 Videos

Similar Questions

Explore conceptually related problems

Two tangents are drawn from a point on hyperbola x^(2)-y^(2)=5 to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 . If they make angle alpha and beta with x-axis, then

How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellipse x^2/9+y^2/4=1?

The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

If y=2x+c is tangent to the circle x^(2)+y^(2)=16 find c.

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If tangents P Q and P R are drawn from a point on the circle x^2+y^2=25 to the ellipse (x^2)/16+(y^2)/(b^2)=1,(b (a) (sqrt(5))/4 (b) (sqrt(7))/4 (c) (sqrt(7))/2 (d) (sqrt(5))/3

Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2=0,(hgeq0) Statement 1 : Angle between the tangents is pi/2 Statement 2 : The given circle is touching the coordinate axes.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.