Home
Class 12
MATHS
In an ellipse, the distance between its ...

In an ellipse, the distance between its directrices is four times the distance between its foci. If (-2, 0) is one of its vertices, then the equation of the ellipse is

A

`3x^2+4y^2=1`

B

`4x^2+3y^2=12`

C

`3x^2+4y^2=12`

D

`4x^2+3y^2=1`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years AIEEE/JEE Main Papers|24 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

Similar Questions

Explore conceptually related problems

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

If the distance between the foci of an ellipse is equal to its minor axis, then eccentricity e of the ellipse is :

Knowledge Check

  • If (distance between directrices ) = 3 (distance between foci) , then e =

    A
    `1/2`
    B
    `1/3`
    C
    `1/sqrt3`
    D
    `1/sqrt2`

  • If the distance between two directrices of a rectangular hyperbola is 15, then the distance between its foci in units is:

    A
    `15sqrt(2)`
    B
    30
    C
    60
    D
    45

  • If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be

    A
    `10 sqrt2`
    B
    5
    C
    `5sqrt2`
    D
    20

    • Similar Questions

    Explore conceptually related problems

    In an ellipse,the distances between its foci is 6 and minor axis is 8. Then its eccentricity is

    If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be

    If distance between directrices of a rectangular hyperbola is 10, then distance between its foci will be

    In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis is

    If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

    Home
    Profile