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JEE 2020 Mathematics : Conic Section - 01 (06.09.2019)
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Question 1
The question has FOUR options. ONLY ONE of these four options is the correct answer.
From a point P, perpendicular tangents PQ and PR are drawn to ellipse x2 + 4y2 = 4 . Locus of circumcentre of triangle PQR is
Question 2
Let PQ be a chord of the ellipse 
, which subtends an angle of π/2 radians at the centre. If L is the foot of perpendicular from (0, 0) to PQ, then
, which subtends an angle of π/2 radians at the centre. If L is the foot of perpendicular from (0, 0) to PQ, thenQuestion 3
If the foci of the ellipse 
coincide with the foci of the hyperbola 
then b2 is equal to
coincide with the foci of the hyperbola then b2 is equal to
Question 4
The locus of the poles of normal chords of an ellipse is given by
Question 5
If θ and Φ are eccentric angles of the ends of a pair of conjugate diameters of the ellipse 
, then θ - Φ is equal to
, then θ - Φ is equal to
Question 6
Let the equations of two ellipses be 
and 
If the product of their eccentricities is 
then the length of the minor axis of ellipse 
is :
and If the product of their eccentricities is then the length of the minor axis of ellipse is :
Question 7
The normal at 
to the ellipse, 
touches a parabola, whose equation is
to the ellipse, touches a parabola, whose equation is
Question 8
The equation of the ellipse whose foci are 
and one of its directrix is 
, is
and one of its directrix is , is Question 9
The angle between the pair of tangents drawn to the ellipse 3x2 + 2y2 = 5 from the point (1,2) is
Question 10
The eccentricity of the ellipse 
is
is - 274 attempts
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Dec 30JEE & BITSAT
