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Conic Sections — JEE Practice

30 practice questions across 2 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

2 Topics30 Questions

Parabola(15 Qs)

easy (5)

Q1Standard equation of a parabola opening right is:Q2Focus of y² = 12x is:Q3The directrix of y² = 4ax is:Q4Eccentricity of a parabola is:Q5Axis of symmetry of y² = 4ax is:

medium (5)

Q1The parametric form of y²=4ax is:Q2Tangent to y²=4ax at (at², 2at) is:Q3Length of latus rectum of y²=4ax is:Q4The condition for y = mx + c to be tangent to y²=4ax is:Q5Focal chord of y²=4ax: if one end is (at₁², 2at₁), relationship for other end t₂:

hard (5)

Q1The tangent at ends of latus rectum of y²=4ax meet at:Q2Reflection property of parabola: a ray parallel to axis after reflection passes through:Q3Normal at (at², 2at) on y²=4ax is:Q4Maximum number of normals from an external point to a parabola:Q5The area of triangle formed by 3 points on parabola y²=4a at parameters t₁, t₂, t₃ is:

Ellipse & Hyperbola(15 Qs)

easy (5)

Q1Standard ellipse equation (a>b) is:Q2Eccentricity of ellipse x²/25 + y²/16 = 1 is:Q3Standard hyperbola equation is:Q4For an ellipse, eccentricity e satisfies:Q5Foci of x²/a² + y²/b² = 1 (a>b) lie on:

medium (5)

Q1The relation b² = a²(1-e²) applies to:Q2Asymptotes of hyperbola x²/a² - y²/b² = 1 are:Q3Length of latus rectum of ellipse x²/a² + y²/b² = 1 is:Q4A rectangular hyperbola has the property:Q5Tangent to ellipse x²/a²+y²/b²=1 at (x₁,y₁) is:

hard (5)

Q1For a focal chord of ellipse, if SP = l₁ and SP' = l₂, then 1/l₁ + 1/l₂ =Q2The director circle of ellipse x²/a²+y²/b²=1 has equation:Q3The equation of the conjugate hyperbola of x²/a²-y²/b²=1 is:Q4If e₁ and e₂ are eccentricities of conjugate hyperbolas, then:Q5The auxiliary circle of x²/a²+y²/b²=1 is:

More Mathematics Chapters

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Complex Numbers

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Permutations & Combinations

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Matrices & Determinants

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