Home
Class 11
MATHS
A parabola is drawn whose focus is one o...

A parabola is drawn whose focus is one of the foci of the ellipse `x^2/a^2 + y^2/b^2 = 1` (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

Promotional Banner

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse whose length of Latus rectum is 1/3 of major axis, is :

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

A parabola is drawn with focus at one of the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 . If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is (a) 1-1/(sqrt(2)) (b) 2sqrt(2)-2 (c) sqrt(2)-1 (d) none of these

A parabola is drawn with focus at one of the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. If the latus rectum of the ellipse and that of the parabola are same,then the eccentricity of the ellipse is 1-(1)/(sqrt(2)) (b) 2sqrt(2)-2sqrt(2)-1( d) none of these

Find the eccentricity, the coordinates of the foci, and the length of the latus rectum of the ellipse 2x^(2)+3y^(2)=1 .

Find the eccentricity ,coordinates of foci ,length of the latus rectum of the following ellipse: 4x^2+9y^2=1

Find the eccentricity ,coordinates of foci, length of the latus rectum of the following ellipse: 5x^2+4y^2=1

Find the eccentricity ,coordinates of foci, length of the latus rectum of the following ellipse: 4x^2+3y^2=1