HARD
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IMPORTANT
Earn 100

The chords of contact of perpendicular tangents to the ellipse touch another fixed ellipse whose equation is
(a)
(b)
(c)
(d)

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Important Questions on Ellipse
MEDIUM
JEE Main
IMPORTANT
The second-degree equation represents

MEDIUM
JEE Main
IMPORTANT
In the standard ellipse, the lines joining the ends of the minor axis to one of the focus are at right angles. The distance between the focus and the nearer vertex is . The equation of the ellipse is

MEDIUM
JEE Main
IMPORTANT
The foci of an ellipse are and . The point is an extremity on the minor axis. What is the value of the eccentricity?

MEDIUM
JEE Main
IMPORTANT
Let and . A point in the -plane varies in such a way that perimeter of is . Then the maximum area of is

MEDIUM
JEE Main
IMPORTANT
The eccentricity of the ellipse is

HARD
JEE Main
IMPORTANT
An area is bounded by the circle which is concentric with the ellipse and which passes through the point , the vertical chord common to both circle and ellipse on the positive side of -axis is

EASY
JEE Main
IMPORTANT
If are foci of the ellipse and is any point on it, then

HARD
JEE Main
IMPORTANT
The distance between the directrices of the ellipse is
