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Ellipse — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

Equation & Properties of Ellipse(15 Qs)

easy (5)

Q1Standard equation of ellipse with a > b is:Q2The eccentricity of an ellipse satisfies:Q3The foci of x²/25 + y²/16 = 1 are at:Q4The length of the major axis of x²/a²+y²/b²=1 (a>b) is:Q5The relationship b² = a²(1-e²) holds for:

medium (5)

Q1The equation of tangent to x²/a²+y²/b²=1 at (x₁,y₁) is:Q2The tangent y = mx + c touches ellipse x²/a²+y²/b²=1 if:Q3The auxiliary circle of x²/a²+y²/b²=1 is:Q4The parametric form of x²/a²+y²/b²=1 is:Q5Latus rectum of ellipse x²/a²+y²/b²=1 has length:

hard (5)

Q1The area of ellipse x²/a²+y²/b²=1 is:Q2The director circle of ellipse x²/a²+y²/b²=1 has equation:Q3For the ellipse, the sum of focal distances from any point P is:Q4The normal to ellipse at (acosθ, bsinθ) is:Q5The reflection property of an ellipse: a ray from one focus reflects off the ellipse and passes through:

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