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Ellipse Questions

Practice 9 Ellipse questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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9
Total Questions
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0
Easy
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8
Medium
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1
Hard
Practice by Exam:Mathematics(9)

About Ellipse โ€” practice questions, PYQs & concepts

Ellipse is a frequently-tested topic on Mathematics. ExamTest.live currently lists 9 Ellipse questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year โ€” every answer key is free, no sign-up required.

Ellipse weight in competitive exams

Across our Ellipse question bank, the largest sources are Mathematics (9). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Ellipse questions are available โ€” build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right โ€” the explanation often surfaces a faster approach you can reuse.

All Ellipse Questions(1โ€“9 of 9)

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Q1hardmcqMathematicsAIEEE 20042026
0% accuracy
The eccentricity of an ellipse, with its centre at the origin, is If one of the directrices is then the equation of the ellipse is
Q2mediummcqMathematicsAIEEE2026
Area of the greatest rectangle that can be inscribed in the ellipse is:
Q3mediummcqMathematicsAIEEE2026
An ellipse has as semi minor axis, and its foci and the angle is a right angle. Then the eccentricity of the ellipse is:
Q4mediummcqMathematicsAIEEE-CBSE-ENG-032026
The foci of the ellipse and the hyperbola coincide. Then the value of is:
Q5mediummcqMathematicsAIEEE2026
A focus of an ellipse is at the origin. The directrix is the line and the eccentricity is . Then the length of the semi-major axis is:
Q6mediummcqMathematicsAIEEE 20092026
The ellipse is inscribed in a rectangle aligned with the coordinate axes, which in turn in inscribed in another ellipse that passes through the point . Then the equation of the ellipse is:
Q7mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point and has eccentricity is:
Q8mediummcqMathematicsAIEEE 20122026
Statement 1: An equation of a common tangent to the parabola and the ellipse is .Statement 2: If the line is a common tangent to the parabola and the ellipse , then satisfies .
Q9mediummcqMathematicsAIEEE 20122026
An ellipse is drawn by taking a diameter of the circle as its semi-minor axis and a diameter of the circle as its semi-major axis. If the centre of the ellipse is the origin and its axes are the coordinate axes, then the equation of the ellipse is:

Frequently Asked Questions

How many Ellipse questions are on ExamTest.live?โ–ผ
We have 9 Ellipse questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Ellipse MCQs free?โ–ผ
Yes. All Ellipse questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Ellipse questions?โ–ผ
Ellipse questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Ellipse questions effectively?โ–ผ
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.