Home
Class 12
MATHS
Statement-I Director circle of hypebola ...

Statement-I Director circle of hypebola `(x^(2))/(a^(2))-(y^(2))/(b^(2))+1=0` is defined only when `bgea`.
Statement-II Director circle of hyperbola `(x^(2))/(25)-(y^(2))/(9)=1` is `x^(2)+y^(2)=16`.

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:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise JEE Type Solved Examples : Subjective Type Questions|3 Videos

  • GRAPHICAL TRANSFORMATIONS

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

  • INDEFINITE INTEGRAL

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

Similar Questions

Explore conceptually related problems

the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

The radius of the director circle of the hyperbola x^2//25-y^(2)//9=1 is

The radius of the auxiliary circle of the hyperbola x^(2)/25-y^(2)/9=1 is

the equation to the director circle of (x^2)/6+(y^2)/4=1 is

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 .

Find the equation of the director circle of x^(2)//12-y^(2)//8=1

The equation of the auxiliary circle of x^(2)/(16)-y^(2)/(25)=1 is

If radius of the director circle of the ellipse ((3x+4y-2)^(2))/(100)+((4x-3y+5)^(2))/(625) =1 is

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

Statement-I The point (5, -3) inside the hyperbola 3x^(2)-5y^(2)+1=0 . Statement-II The point (x_1, y_1) inside the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , then (x_(1)^(2))/(a^(2))+(y_(1)^(2))/(b^(2))-1lt0 .