HARD
JEE Advanced
IMPORTANT
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The point at shortest distance from the line x+y=7 and lying on an ellipse x2+2y2=6, has coordinates

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Important Questions on Ellipse

HARD
JEE Advanced
IMPORTANT
If the equation of the ellipse is 2x2+3y2-8x+6y+5=0, then which of the following is true?
HARD
JEE Advanced
IMPORTANT
Locus of all such points from where the tangents drawn to the ellipse x2a2+y2b2=1 are always inclined at 45°, is
EASY
JEE Advanced
IMPORTANT
If the straight line y=4x+c is a tangent to the ellipse x28+y24=1, then c will be equal to
HARD
JEE Advanced
IMPORTANT
From point P(8,27) tangents PQ and PR are drawn to the ellipse x24+y29=1. Then, angle subtended by QR at origin is
HARD
JEE Advanced
IMPORTANT
Equation of the tangent to the ellipse x24+y23=1 perpendicular to the line 2x+y+7=0, is
HARD
JEE Advanced
IMPORTANT
Equation of the tangents to the ellipse x29+y216=1 which are parallel to the line x+y+1=0, is
MEDIUM
JEE Advanced
IMPORTANT
If from a point P tangents PQ and PR are drawn to the ellipse x22+y2=1, so that equation of QR is x+3 y=1, then coordinates of P is
HARD
JEE Advanced
IMPORTANT
The angle between pair of tangents drawn to the ellipse 3x2+2y2=5 from the points 1,2, is