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JEE Main Conic Sections questions with solutions

Parabola, ellipse and hyperbola. 5 questions from our 2017–2024 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Conic Sections for JEE Advanced · Conic Sections for NDA

JEE Main 2024

The eccentricity of the ellipse 9x^2+25y^2=225 isJEE Main 2024 · easy

JEE Main 2022

On the parabola y^2=12x, a first-quadrant point P is 7 units away from the focus. The y-coordinate of P isJEE Main 2022 · medium
Let P be the point in the first quadrant on the ellipse (x^2/(16)+(y^2/(12)=1 whose abscissa is 2. The tangent at P meets the coordinate axes at A…JEE Main 2022 · medium

JEE Main 2020

A tangent to the ellipse (x^2/(25)+(y^2/(9)=1 at a point in the first quadrant meets the coordinate axes at A and B. The minimum possible length of…JEE Main 2020 · hard

JEE Main 2017

The length of the latus rectum of the ellipse (x^2/(25)+(y^2/(16)=1 isJEE Main 2017 · easy

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8