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Class XI Maths Conic Section 3 - Ellipse
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Question 1
The eccentricity of an ellipse whose centre is at the origin is 1/2, If one of its directrix is x=−4, then the equation of the normal to it at (1, 3/2) is:
Question 2
Q is a point on the auxiliary circle corresponding to the point P of the ellipse 
= 1. If T is the foot of the perpendicular dropped from the focus S onto the tangent to the auxiliary circle at Q then the Δ SPT is -
= 1. If T is the foot of the perpendicular dropped from the focus S onto the tangent to the auxiliary circle at Q then the Δ SPT is - Question 3
What is the distance between the foci and the ends of the minor axis of the given ellipse -
+ 
= 1?
Question 4
The set of values of ‘a’ for which (13x – 1)2 + (13y – 2)2 = a (5x + 12y – 1)2 represents an ellipse, is-
Question 5
If tan θ1 tan θ2 = – 
then the chord joining two points θ1 & θ2 on the ellipse 
+ 
= 1 will subtend a right angle at -
then the chord joining two points θ1 & θ2 on the ellipse + = 1 will subtend a right angle at - Question 6
The locus of the foot of perpendicular drawn from the centre of the ellipse x2 + 3y2 = 6 on any tangent to it is
Question 7
The area (in sq. units) of the quadrilateral formed by the tangents at the points of the latera recta to the ellipse 
= 1, is
= 1, is Question 8
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity 
is
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Feb 3JEE & BITSAT
