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NDA Hyperbola PYQs with Solutions

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

13 questionsMathematics2010–2025Answers + solutions

About Hyperbola PYQs

Hyperbola has 13 previous year questions in the Quantrex Academy NDA Mathematics bank. The 13 questions in this list come from NDA (13), spanning 2010 to 2025. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2025: 2
  • 2023: 1
  • 2021: 1
  • 2019: 1
  • 2016: 2
  • 2015: 2
  • 2013: 2
  • 2011: 1
  • 2010: 1

Hyperbola questions with solutions

1

What is the distance between the foci of the hyperbola x^2 - 4y^2 = 1 ?

NDA 2025 Solution
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2

What is the distance between the two foci of the hyperbola 25x^2 - 75y^2 = 225 ?

NDA 2025 Solution
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3

Consider the following statements in respect of hyperbola (x^2)/( ^2 θ)-(y^2)/( ^2 θ)=1 1. The two foci are independent of 0 . 2. The eccentricity is θ . 3. The distance between

NDA 2023 Solution
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4

If any point on a hyperbola is (3 θ, 2 θ) , then what is the eccentricity of the hyperbola?

NDA 2021 Solution
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5

The equation 2 x^2-3 y^2-6=0 represents

NDA 2019 Solution
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6

What is the equation of the hyperbola having latus rectum and eccentrieity 8 and 3 5 respectively?

NDA 2016 Solution
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7

What is the eccentricity of rectangular hyperbola?

NDA 2016 Solution
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8

The eccentricity of the hyperbola 16 x^2-9 y^2=1 is

NDA 2015 Solution
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9

The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (3 5 , 1) and the length of its latus rectum is (4)/(3) units. The length of the conjugate axis is

NDA 2015 Solution
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10

The difference of focal distances of any point on a hyperbola is equal to

NDA 2013 Solution
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11

The foci of the hyperbola 4 x^2-9 y^2-1=0 are

NDA 2013 Solution
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12

What are the points of intersection of the curve 4 x^2-9 y^2=1 with its conjugate axis?

NDA 2011 Solution
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13

What is the locus of points, the difference of whose distances from two points being constant?

NDA 2010 Solution
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