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BITSAT Ellipse PYQs with Solutions

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

12 questionsMathematics2010–2021Answers + solutions

About Ellipse PYQs

Ellipse has 12 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 12 questions in this list come from BITSAT (12), spanning 2010 to 2021. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2021: 2
  • 2020: 1
  • 2019: 2
  • 2018: 1
  • 2017: 1
  • 2015: 1
  • 2013: 2
  • 2011: 1
  • 2010: 1

Ellipse questions with solutions

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 x^ 2 a^ 2 + y^ 2 b^ 2 =1, then

BITSAT 2020 Solution
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4

If the length of the major axis of the ellipse (x2)/(a2) + (y2)/(b2) = 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 + 3y^ 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 + 9y^ 2 = 9 meets its auxiliary circle at the point M . Then, the

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

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 \(y²-k x+6=0\), then one of the values of \(k\) is

BITSAT 2010 Solution
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