Skip to content

Sign in Sign up free

JEE Advanced Straight Lines and Circles questions with solutions

Equations of lines and circles, tangents, chords, distances and loci. 11 questions from our 2016–2025 JEE Advanced pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Straight Lines and Circles for JEE Main

JEE Advanced 2025

Circles with centre in the first quadrant touch both coordinate axes. Consider those that also touch the circle x^2+y^2=1 (the contact may be…JEE Advanced 2025 Paper 1 · medium

JEE Advanced 2024

From a point P moving on the line x+y=6, tangents are drawn to the circle x^2+y^2=9. The chord of contact of these tangents always passes through a…JEE Advanced 2024 Paper 1 · medium

JEE Advanced 2023

Vec r=(1,0,-1)+λ(1,2,2) and L2: vec r=(2,3,0)+μ(2,-2,1).JEE Advanced 2023 Paper 1 · hard
Consider the circle C0: x^2+y^2-2x-4y-4=0. Match the number of common tangents of C0 with each circle in List-I to a value in List-II. List-I (P)…JEE Advanced 2023 Paper 1 · medium

JEE Advanced 2021

Paragraph 3: In the xy-plane, consider the circle C: x^2+y^2-6x-4y+9=0 and the external point P(7,5). Two tangents drawn from P touch C at the points…JEE Advanced 2021 Paper 2 · 2-question set

JEE Advanced 2020

The circles C1: x^2+y^2-2x-4y-4=0 and C2: x^2+y^2-8x-12y+36=0 intersect at two points A and B. A third circle is drawn with the common chord AB as a…JEE Advanced 2020 Paper 1 · medium

JEE Advanced 2019

(x-1)/(1)=(y-2)/(1)=(z-3)/(2) and L2: x/2=(y-1)/(-1)=(z+1)/(1).JEE Advanced 2019 Paper 1 · medium

JEE Advanced 2018

A circle touches the parabola y=x^2 at the point (1,1) and also passes through the origin. Find the radius of the circle.JEE Advanced 2018 Paper 1 · medium

JEE Advanced 2017

The circles C1: x^2+y^2=25 and C2: (x-7)^2+(y-1)^2=25 intersect at two points A and B.JEE Advanced 2017 Paper 2 · medium

JEE Advanced 2016

From a variable point P on the line x+y=10, two tangents are drawn to the circle x^2+y^2=25, and the chord of contact is AB. The minimum possible…JEE Advanced 2016 Paper 2 · medium

Other Mathematics topics

Area Under Curves 13 Binomial Theorem 10 Complex Numbers 24 Conic Sections 34 Differential Equations 18 Differentiation and Application of Derivatives 20 Indefinite and Definite Integrals 18 Limits 19 Matrices and Determinants 28 Permutations and Combinations 18 Probability 38 Quadratic Equations 12 Sequences and Series 11 Sets, Relations and Functions 8 Three Dimensional Geometry 22 Trigonometry and Inverse Trigonometric Functions 18 Vector Algebra 9