MEDIUM
JEE Main
IMPORTANT
Earn 100

The ratio of the area enclosed by the locus of the midpoint of and area of the ellipse is ( be any point on the ellipse and is its focus)
(a)
(b)
(c)
(d)

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Important Questions on Ellipse
HARD
JEE Main
IMPORTANT
Number of integral values of for which the point lies inside the ellipse is

HARD
JEE Main
IMPORTANT
Coordinates of the vertices and of a triangle are and , respectively. The vertex is varying in such a way that Then locus of is

HARD
JEE Main
IMPORTANT
and are two focal chords of an ellipse and the eccentric angles of and are and respectively, then is

HARD
JEE Main
IMPORTANT
In triangle and . A point moves within the triangle such that the square of its distance from is half the area of rectangle contained by its distances from the other two sides. If is the centre of locus of , then

HARD
JEE Main
IMPORTANT
Extremities of the latus rectum of the ellipse having a major axis lies on:

HARD
JEE Main
IMPORTANT
Identify correct statement(s) about conic

MEDIUM
JEE Main
IMPORTANT
The value of , for which the line is a normal to the conic is :

HARD
JEE Main
IMPORTANT
If the length of portion of the major axis intercepted between the tangent and normal at a point on the ellipse is equal to the length of semi-major axis, then eccentricity of the ellipse is
