Home
Class 12
MATHS
The equation of the director circle of t...

The equation of the director circle of the hyperbola `(x^(2))/(16)-(y^(2))/(4)=1` is given by

A

`x^(2)+y^(2)=16`

B

`x^(2)+y^(2)=4`

C

`x^(2)+y^(2)=20`

D

`x^(2)+y^(2)=12`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODEL TEST PAPER 9

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

  • SOLVED PAPER 2011

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|58 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)).

Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

Knowledge Check

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

    A
    `(sqrt(41))/(4)`
    B
    `(sqrt(41))/(5)`
    C
    `(3)/(4)`
    D
    `(3)/(5)`

  • The equation of auxiliary circle of the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is

    A
    `x^(2)+y^(2)=4`
    B
    `x^(2)+y^(2)=9`
    C
    `x^(2)+y^(2)=13`
    D
    `x^(2)+y^(2)=5`

  • The eccentricity of the hyperbola (x^(2))/(16)+(y^(2))/(25)=1 is...

    A
    `(3)/(4)`
    B
    `(3)/(5)`
    C
    `(sqrt(41))/(4)`
    D
    `(sqrt(41))/(5)`

    • Similar Questions

    Explore conceptually related problems

    The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 "at "(-4,0) is

    The angle between the two asymptotes of the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 is

    The equation of the director circle of the ellipse x^(2)+2y^(2)+2x-12y+15=0 is :

    Any point on the hyperbola ((x+1)^(2))/(16)-((y-2)^(2))/(4)=1 is of the form

    Eecentricity of the hyperbola 9 x^(2)-16 y^(2)=144 is

    Home
    Profile