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Ellipse — BITSAT Mathematics PYQs

12 previous year questions from Ellipse with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

12 questionsMathematicsSolutions on every page
1

The eccentricity of the ellipse whose major axis is three times the minor axis is:

BITSAT 2021 Solution
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2

An ellipse has OB as semi minor axis, F and F ^ its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is

BITSAT 2021 Solution
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3

If x ma + y nb =1 touches the ellipse x² a² + y² b² =1, then

BITSAT 2020 Solution
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4

If the length of the major axis of the ellipse x 2 a 2 + y 2 b 2 = 1 is three times the length of minor axis, its eccentricity is

BITSAT 2019 Solution
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5

The locus of the foot of perpendicular drawn from the centre of the ellipse x 2 + 3 y 2 = 6 on any tangent to it is

BITSAT 2019 Solution
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6

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x 2 + 9 y 2 = 9 meets its auxiliary circle at the point M . Then, the ar

BITSAT 2018 Solution
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7

If p and p ' denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length a , respectively, on a tangent to the ellipse and r de

BITSAT 2017 Solution
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8

The eccentricity of an ellipse, with its centre at the origin, is 1 / 2 . If one of the directrices is x =4 then the equation of the ellipse is:

BITSAT 2015 Solution
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9

An ellipse has O B as semi minor axis, F and F^ its focii and the angle F B F^ is a right angle. Then the eccentricity of the ellipse is

BITSAT 2013 Solution
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10

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, then the eccentricity of the ellipse is

BITSAT 2013 Solution
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11

The equation of the ellipse with focus at (( 5,0) ) and (x= 36 5 ) as one directrix is

BITSAT 2011 Solution
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12

If the line (2 x-1=0 ) is the directrix of the parabola (y^2-k x+6=0 ), then one of the values of (k ) is

BITSAT 2010 Solution
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