MEDIUM
JEE Main
IMPORTANT
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Let be a given ellipse, length of whose latus rectum is . If its eccentricity is the maximum value of the function, , then is equal to :
(a)
(b)
(c)
(d)

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Important Questions on Ellipse
MEDIUM
JEE Main
IMPORTANT
Let be a directrix to an ellipse whose centre is at the origin and its eccentricity is If is a point on this ellipse, then the equation of the normal to it at is

MEDIUM
JEE Main
IMPORTANT
If the co-ordinates of two points and are and respectively and is any point on the conic, then is equal to :

HARD
JEE Main
IMPORTANT
If the point on the curve, is farthest from the point , then is equal to

HARD
JEE Main
IMPORTANT
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, from any of its foci?

MEDIUM
JEE Main
IMPORTANT
If the normal at an end of latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity of the ellipse satisfies :

EASY
JEE Main
IMPORTANT
If the distance between the foci of an ellipse is and the distance between its directrix is then the length of its latus rectum is

MEDIUM
JEE Main
IMPORTANT
If is a tangent o the ellipse for some then the distance between the foci of the ellipse is

HARD
JEE Main
IMPORTANT
Let the line and the ellipse intersect at a point in the first quadrant. If the normal to this ellipse at meets the co-ordinate axes at and , then is equal to
