Coordinate Geometry JEE Advanced PYQ Chapter Wise

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Answer first

Coordinate Geometry PYQs (previous year questions) for JEE Advanced: Coordinate Geometry (Mathematics) had 51 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 20 of them. Asked in 11 of 11 years. The concepts asked in the most papers: Circles, Parabola, Ellipse.

Year-wise question count

Asked in 11 of 11 years, with 2 papers each year.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Coordinate Geometry PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Coordinate Geometry questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.

JEE Advanced2026

• Q.2 (Paper 1) · MCQ · Tangents to Conics: Radius of circle through tangent points on a parabola, circle and ellipse (official answer: C) PDF
• Q.16 (Paper 1) · Matching · Conic Sections: Match circle, tangent, normal and hyperbola with points they pass through (official answer: B) PDF
• Q.2 (Paper 2) · MCQ · Parabola: Point of contact of a tangent perpendicular to a given parabola tangent (official answer: C) PDF
• Q.13 (Paper 2) · Numerical · Ellipse and Hyperbola: Value from intersection points of an ellipse and a confocal hyperbola (official answer: 18) PDF
• Q.17 (Paper 2) · Numerical · Ellipse: Angle between tangents to two ellipses at their intersection point (official answer: 7.4–7.6) PDF

JEE Advanced2025

• Q.4 (Paper 2) · MCQ · Hyperbola: Locus of intersection of a line pair and a tangent from a given point (official answer: A) PDF
• Q.6 (Paper 2) · MSQ · Parabola: Locus of chord midpoints of a parabola cutting fixed area, and a region area (official answer: A, C) PDF
• Q.7 (Paper 2) · MSQ · Ellipse and Circle: Properties of points on an ellipse and lines through a point on a circle (official answer: A, C) PDF

JEE Advanced2024

• Q.4 (Paper 1) · MCQ · Ellipse: Tangents from an external point to an ellipse with an area condition (official answer: A) PDF
• Q.15 (Paper 1) · Matching · Circles: Circle touching y = 2x: centre, radius and diameter endpoints (official answer: C) PDF
• Q.7 (Paper 2) · MSQ · Parabola: Tangents from (-4, 0) to y^2 = 8x: lengths and areas (official answer: A, C) PDF
• Q.12 (Paper 2) · Integer · Parabola: Ratio involving latus rectum and a chord of a parabola (official answer: 12) PDF

JEE Advanced2023

• Q.2 (Paper 1) · MSQ · Common Tangents: Common tangents to an ellipse and a parabola; quadrilateral area (official answer: A, C) PDF
• Q.7 (Paper 1) · MCQ · Parabola: Find (a, m) from area of triangle formed by normal, axis and focus (official answer: A) PDF
• Q.13 (Paper 2) · Integer · Circles: Value of r^2 from common tangents of two circles (official answer: 2) PDF

JEE Advanced2022

• Q.8 (Paper 1) · Numerical · Circles: Radius of a circle touching two sides and the circumcircle of a right triangle (official answer: 0.82–0.86) PDF
• Q.13 (Paper 1) · MSQ · Parabola: Tangents from an external point to y^2 = 4x; focal distances and lines (official answer: B, C, D) PDF
• Q.18 (Paper 1) · Matching · Ellipse: Triangle areas from ellipse tangent and auxiliary circle points (official answer: C) PDF
• Q.7 (Paper 2) · Integer · Hyperbola: Greatest integer of an expression from hyperbola focal-chord geometry (official answer: 7) PDF
• Q.12 (Paper 2) · MSQ · Circles: Conditions on R and r for n equal circles around a circle (official answer: C, D) PDF

JEE Advanced2021

• Q.1 (Paper 1) · MCQ · Circles: Circumcircle of a triangle with given sides and orthocentre PDF
• Q.9 (Paper 1) · Numerical · Locus: Value of lambda^2 for a locus cut by a line at a given chord PDF
• Q.10 (Paper 1) · Numerical · Locus: Squared distance between points where a bisector meets the locus PDF
• Q.6 (Paper 2) · MSQ · Parabola: Tangents from an external point to a parabola: triangle properties PDF
• Q.7 (Paper 2) · Numerical · Circles: Radius of the largest circle inside a region bounded by a parabola PDF
• Q.8 (Paper 2) · Numerical · Circles: Abscissa where the largest circle meets the parabola PDF
• Q.18 (Paper 2) · Integer · Ellipse: Maximum distance between midpoints of chords from a point on an ellipse PDF

JEE Advanced2020

• Q.4 (Paper 1) · MCQ · Parabola and Ellipse: Eccentricity of an ellipse cutting a parabola at right angles PDF
• Q.3 (Paper 2) · Integer · Circles: Radius of a circle given circumcentre of triangle with a chord PDF
• Q.8 (Paper 2) · MSQ · Hyperbola: Area and eccentricity for tangent and normal of a hyperbola PDF

JEE Advanced2019

• Q.3 (Paper 1) · MCQ · Circles: Slope range for a line whose chord midpoint has given x-coordinate (official answer: B) PDF
• Q.9 (Paper 1) · MSQ · Ellipse: Nested ellipses and rectangles of largest area (official answer: B, C) PDF
• Q.16 (Paper 1) · Numerical · Circles: Length from a circle centre to a common tangent on line AB (official answer: 10) PDF
• Q.17 (Paper 2) · Matching · Circles: Matching lengths and values for circles touching two given circles (official answer: C) PDF
• Q.18 (Paper 2) · Matching · Circles: Incorrect combination for circle and parabola tangent values (official answer: D) PDF

JEE Advanced2018

• Q.15 (Paper 1) · Paragraph MCQ · Circles: Locus of intersection points of tangents at chord ends PDF
• Q.16 (Paper 1) · Paragraph MCQ · Circles: Locus of midpoint of intercept made by a tangent PDF
• Q.2 (Paper 2) · MSQ · Circles: Locus of touching point of circles tangent to a line and midpoints PDF
• Q.4 (Paper 2) · MSQ · Common Tangents: Common tangents to a circle and parabola and a related ellipse PDF
• Q.17 (Paper 2) · Matching · Hyperbola: Match hyperbola parameters with values PDF

JEE Advanced2017

• Q.37 (Paper 1) · MSQ · Hyperbola: Tangent condition to a hyperbola and right-triangle side sets (official answer: A, B, C) PDF
• Q.38 (Paper 1) · MSQ · Parabola: Chord of a parabola with given midpoint (official answer: C) PDF
• Q.44 (Paper 1) · Integer · Circles: Values of p for which circle meets coordinate axes at three points (official answer: 2) PDF
• Q.49 (Paper 1) · Matching · Tangents to Conics: Matching conic, tangent form and contact point at (-1,1) (official answer: B) PDF
• Q.50 (Paper 1) · Matching · Tangents to Conics: Matching conic for tangent y=x+8 touching at (8,16) (official answer: C) PDF
• Q.51 (Paper 1) · Matching · Tangents to Conics: Matching conic for a given tangent at a given point (official answer: D) PDF

JEE Advanced2016

• Q.48 (Paper 1) · MSQ · Circles: Tangent to a circle at its parabola intersection touching two circles (official answer: A, B, C) PDF
• Q.49 (Paper 1) · MSQ · Locus: Locus from tangent and normal construction on a unit circle (official answer: A, C) PDF
• Q.48 (Paper 2) · MSQ · Parabola: Nearest point on a parabola to a circle centre and related lines (official answer: A, C, D) PDF
• Q.53 (Paper 2) · Paragraph MCQ · Ellipse: Orthocentre of a triangle from ellipse focus and parabola intersections (official answer: A) PDF
• Q.54 (Paper 2) · Paragraph MCQ · Ellipse: Area ratio from tangents to ellipse and normal to parabola (official answer: C) PDF

Coordinate Geometry in other exams

The same chapter in other official papers we tagged: CBSE Class 10 (32 questions), JEE Main (42 questions).

Other Mathematics chapters

• Sets, Relations and Functions PYQs
• Complex Numbers and Quadratic Equations PYQs
• Matrices and Determinants PYQs
• Permutations and Combinations PYQs
• Binomial Theorem PYQs
• Sequences and Series PYQs
• Limits, Continuity and Differentiability PYQs
• Integral Calculus PYQs
• Differential Equations PYQs
• Three-Dimensional Geometry PYQs
• Vector Algebra PYQs
• Statistics and Probability PYQs
• Trigonometry PYQs

FAQ

How many Coordinate Geometry questions come in JEE Advanced?

In the official papers we tagged: 5 in 2026, 3 in 2025, 4 in 2024, 3 in 2023, 5 in 2022, 7 in 2021, 3 in 2020, 5 in 2019, 5 in 2018, 6 in 2017 and 5 in 2016 (2 papers each year). That is 51 questions in all, about 13% of Mathematics.

Which Coordinate Geometry topics repeat in JEE Advanced?

Asked in the most papers: Circles, Parabola, Ellipse. The concept table lists every one with its count.

Are these official JEE Advanced questions?

Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.