Q.

For an ellipse with eccentricity 1/2 and  centre is at origin. If one directrix is x = 4 then the equation of ellipse is

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a

3x2 + 4y2 = 1

b

3x2 + 4y2 = 12

c

4x2 + 3y2 = 1

d

4x2 + 3y2 = 12

answer is B.

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Detailed Solution

Given e=12

and directrix is  x=ae=4

a=4e           =2    

Now b2=a2(1-e2)     =41-14      =3

equation of an ellipse is 

3x2+4y2=12

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