Ellipse — JEE Main Previous Year Questions

How many JEE Main questions come from Ellipse?

Ellipse has contributed 72 questions to Joint Entrance Examination (Main) papers between 2017 and 2026 — an average of about 7 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 72 questions carries a written, step-by-step solution, and each is tagged to Ellipse within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Ellipse questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 72 Ellipse questions (with full written solutions) are available in practice.

1. Question 1 · JEE Main 2025

   If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is :
   1. (A)$\frac{3}{\sqrt{19}}$
   2. (B)$\frac{\sqrt{3}}{16}$
   3. (C)$\frac{4}{\sqrt{17}}$
   4. (D)$\frac{\sqrt{5}}{7}$
   Show answerAnswer

   Answer: (C) $\frac{4}{\sqrt{17}}$

2. Question 2 · JEE Main 2024

   If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :
   1. (A)$$\frac{1}{\sqrt{3}}$$
   2. (B)$$\frac{2}{\sqrt{5}}$$
   3. (C)$$\frac{\sqrt{3}}{2}$$
   4. (D)$$\frac{\sqrt{5}}{3}$$
   Show answerAnswer

   Answer: (B) $\frac{2}{\sqrt{5}}$

3. Question 3 · JEE Main 2020

   If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is :
   1. (A)$$\sqrt{3}$$
   2. (B)$$3\sqrt{2}$$
   3. (C)$$\frac{3}{\sqrt{2}}$$
   4. (D)$$2\sqrt{3}$$
   Show answerAnswer

   Answer: (B) $3\sqrt{2}$

4. Question 4 · JEE Main 2019

   An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?
   1. (A)$$\left(2,\sqrt{2}\right)$$
   2. (B)$$\left(2,2\sqrt{2}\right)$$
   3. (C)$$\left(\sqrt{2},2\right)$$
   4. (D)$$\left(1,2\sqrt{2}\right)$$
   Show answerAnswer

   Answer: (C) $\left(\sqrt{2},2\right)$

5. Question 5 · JEE Main 2019

   Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
   1. (A)$$\left(4\sqrt{2},2\sqrt{3}\right)$$
   2. (B)$$\left(4\sqrt{3},2\sqrt{3}\right)$$
   3. (C)$$\left(4\sqrt{3},2\sqrt{2}\right)$$
   4. (D)$$\left(4\sqrt{2},2\sqrt{2}\right)$$
   Show answerAnswer

   Answer: (C) $\left(4\sqrt{3},2\sqrt{2}\right)$

Ellipse questions by year

FAQs

More JEE Main Mathematics chapters

• Matrices And Determinants (306)
• Definite Integration (278)
• Limits Continuity And Differentiability (247)
• Differential Equations (213)
• Magnetics (207)
• Sequences And Series (200)
• Permutations And Combinations (198)
• Vector Algebra (198)
• Complex Numbers (182)
• Probability (181)
• Quadratic Equation And Inequalities (168)
• Binomial Theorem (168)

All JEE Main Mathematics chapters →JEE Main overview →