Home
Class 12
MATHS
Statement-I Two tangents are drawn from ...

Statement-I Two tangents are drawn from a point on the circle `x^(2)+y^(2)=9` to the hyperbola `(x^(2))/(25)-(y^(2))/(16)=1`, then the angle between tangnets is `(pi)/(2)`.
Statement-II `x^(2)+y^(2)=9` is the directrix circle of `(x^(2))/(25)-(y^(2))/(16)=1`.

A

Statement-I is true, Statement-II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement-II is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 10 : Subjective Type Questions|4 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 8 : Matching Type Questions|3 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

Tangents drawn from a point on the circle x^2+y^2=9 to the hyperbola x^2/25-y^2/16=1, then tangents are at angle

Statement I Two tangents are drawn from a point on the circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , then angle between tangents is (pi)/(3) Statement II x^(2)+y^(2)=50 is the director circle of x^(2)+y^(2)=25 .

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

The coordinates of a point common to a directrix and an asymptote of the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 are

Find the angle between the asymptotes of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 .

Write the parametric form of equation of tangents drawn from any point on the circle x^(2) + y^(2) = 25

The area of the circle x^2 + y^2 = 9 is :

The area of the circle x^2 + y^2 = 16 is :