Home
Class 12
MATHS
The eccentricity of an ellipse with its ...

The eccentricity of an ellipse with its centre at the origin is `(1)/(2) ` . If one of the directrices is x = 4 , then the equation of ellipse is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    MODERN PUBLICATION|Exercise (LEVEL-II) MCQ|34 Videos
  • ELLIPSE

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of an ellipse, with its centre at origin is (1)/(2) then the equation of the ellipse is, if one of the directrices is x=4

The eccentricity of an ellipse with centre at the origin which meets the straight line (x)/(7)+(y)/(2)=1 on the axis of x and the straight line (x)/(3)-(y)/(5)=1 on the axis of y and whose axes lie along the axes of coordinates is

An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the corresponding directrix x+6=0 . The equation of the ellipse is

The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

An ellipse has its centre (1,-1) and semi major axis is 8 , which passes through the point (1,3) . Then the equation of the ellipse is

The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

If the eccentricity of an ellipse is 1/sqrt2 , then its latusrectum is equal to its

An ellipse is drawn by taking the diameter of the circle (x-1)^(2)+y^(2)=1 as semi-minor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is the origin and its axes are the co-ordinate axes, then the equation of the ellipse is :

An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then equation of ellipse is