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JEE Main Straight Lines and Circles questions with solutions

Equations of lines and circles, tangents, chords, distances and loci. 9 questions from our 2017–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Straight Lines and Circles for JEE Advanced

JEE Main 2025

Two circles in the first quadrant each touch both coordinate axes and both pass through the point (1,2). The length of their common chord isJEE Main 2025 · hard
The positive value of k for which the line 3x+4y=k touches the circle x^2+y^2-2x-4y-20=0 isJEE Main 2025 · easy

JEE Main 2024

Tangents PA and PB are drawn from P(0,10) to the circle x^2+y^2=25, touching it at A and B. The area of triangle PAB isJEE Main 2024 · hard
The lines 2x+3y=5 and kx-6y=7 are perpendicular. The value of k isJEE Main 2024 · easy

JEE Main 2023

The circles x^2+y^2=25 and x^2+y^2-12x+11=0 intersect at A and B and have centres C1 and C2. The area of the quadrilateral C1AC2B isJEE Main 2023 · medium

JEE Main 2022

The radius of the circle passing through the points (0,0), (4,0) and (0,6) isJEE Main 2022 · easy

JEE Main 2021

The length of the chord intercepted by the line 3x+4y=3 on the circle x^2+y^2-4x-6y-12=0 isJEE Main 2021 · medium

JEE Main 2019

A circle passes through the origin and cuts off intercepts of lengths 4 and 6 on the positive x-axis and positive y-axis respectively. Its radius isJEE Main 2019 · hard

JEE Main 2017

The equation of the circle passing through the points (0,0), (4,0) and (0,6) isJEE Main 2017 · medium

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 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 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8