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 the ellipse is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The eccentricity of an ellipse whose centre is at the origin is 1/2 . If one of its directrices is x = - 4, then the equation of the normal to it at (1, 3/2) is :

The eccentricity of an ellipse whose centre is at the origin is 1/2dot if one of its directrices is x=-4, then the equation of the normal to it at (1,3/2) is: (1) 4x+2y=7 (2) x+2y=4 (3) 2y-x=2 (4) 4x-2y=1

The eccentricity of an ellipse with centre at the orgin and axes along the coordinate axes , is 1/2 if one of the directrices is x=4, the equation of the ellipse is

The differential equation of all ellipses centred at the origin is

An ellipse is drawn by taking a diameter of the circle (x-1)^2+y^2=1 as its 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 coordinate axes, then the equation of the ellipse is (1) 4x^2+""y^2=""4 (2) x^2+""4y^2=""8 (3) 4x^2+""y^2=""8 (4) x^2+""4y^2=""16

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

If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricity is 5/6 then the equation of the ellipse is

If the latus rectum of an ellipse with major axis along y-axis and centre at origin is (1)/(5) , distance between foci = length of minor axis, then the equation of the ellipse is

if the vertices of an ellipse are (-12,4) and (14,4) and eccentricity 12/13 , then the equation of the ellipse ,is

Find the equation of the ellipse with foci at (+-5,0) and x= 36/5 as one of the directrices.