Coordinate Geometry JEE Main PYQ Chapter Wise (2016–2026)

Explore: All JEE Main chapters · JEE Main Mathematics PYQs · JEE Main hub · JEE Main 2026 · Syllabus & pattern

Answer first

Coordinate Geometry PYQs (previous year questions) for JEE Main: Coordinate Geometry (Mathematics) had 42 questions across the 11 official JEE Main papers we tagged (2016–2026), and appeared in 11 of them. Asked in 3 of 3 years. The concepts asked in the most papers: Circle, Parabola, Ellipse.

Year-wise question count

Asked in 3 of 3 years.

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 Main2026

• Q.9 (2 April, shift 1) · MCQ · Incentre of Triangle: Find incentre of a triangle from midpoints of its sides; compute 3h + k (official answer: option 3) PDF
• Q.10 (2 April, shift 1) · MCQ · Ellipse: Latus rectum of an ellipse through (4,3) with given eccentricity, a < b (official answer: option 4) PDF
• Q.24 (2 April, shift 1) · Numerical · Circle: Circle touching one axis cutting equal intercepts; chord length gives radius squared (official answer: 8) PDF
• Q.10 (2 April, shift 2) · MCQ · Circle: Circle through origin centred at intersection of perpendicular lines; chord AB^2 (official answer: option 3) PDF
• Q.11 (2 April, shift 2) · MCQ · Rectangular Hyperbola: Area of triangle OPQ for a chord of xy = 12 with given midpoint (official answer: option 3) PDF
• Q.12 (2 April, shift 2) · MCQ · Parabola: Parabola through (1,-1) whose vertex is nearest the x-axis; find p^2 + q^2 (official answer: option 2) PDF
• Q.23 (2 April, shift 2) · Numerical · Locus and Ellipse: Locus of B when circles on AB touch x^2 + y^2 = 36 internally; find 72e^2 (official answer: 18) PDF
• Q.11 (4 April, shift 1) · MCQ · Angle Bisectors: Ratio BC^2 : AC^2 using the obtuse angle bisector of two lines (official answer: option 1) PDF
• Q.12 (4 April, shift 1) · MCQ · Centres of Triangle: Circumcentre of a triangle from a vertex, a midpoint and the centroid (official answer: option 3) PDF
• Q.13 (4 April, shift 1) · MCQ · Circle: Chords from a point on a circle bisected by the y-axis; midpoint of RS (official answer: option 2) PDF
• Q.22 (4 April, shift 1) · Numerical · Parabola and Ellipse: Parabola and ellipse share latus rectum chord; find e^2 + 2sqrt2 (official answer: 3) PDF
• Q.10 (4 April, shift 2) · MCQ · Ellipse and Circle: Centroid of triangle with vertices on ellipse, circle and line; sum of R ordinates (official answer: option 4) PDF
• Q.11 (4 April, shift 2) · MCQ · Hyperbola: Hyperbola from focal and directrix distances; find α² from triangle area (official answer: option 2) PDF
• Q.23 (4 April, shift 2) · Numerical · Straight Lines: Half-lines x−√3|y|=α, angle bisector and circumradius; find α²/R (official answer: 9) PDF
• Q.24 (4 April, shift 2) · Numerical · Parabola: Locus of centroid of right triangle inscribed in y²=16x; latus rectum (official answer: 16) PDF
• Q.9 (5 April, shift 1) · MCQ · Ellipse: Ellipse with focus (4,0) and e=4/5; area of triangle POS for P on it (official answer: option 3) PDF
• Q.10 (5 April, shift 1) · MCQ · Circle and Parabola: Maximum distance of a point on a circle from the vertex of a parabola (official answer: option 3) PDF
• Q.11 (5 April, shift 1) · MCQ · Straight Lines: Orthocentre of an equilateral triangle with vertex P and side on x+y=4 (official answer: option 4) PDF
• Q.11 (5 April, shift 2) · MCQ · Circle: Maximum of (PR+PS)² for chords through parabola vertex P on a circle (official answer: option 2) PDF
• Q.12 (5 April, shift 2) · MCQ · Parabola: Six times area of triangle with focal chord BC of y²=8x (official answer: option 2) PDF
• Q.13 (5 April, shift 2) · MCQ · Hyperbola: Latus rectum of hyperbola with given foci and eccentricity equation (official answer: option 3) PDF
• Q.22 (5 April, shift 2) · Numerical · Reflection of Lines: Rays at 45° to x+y=0 reflected in a mirror line; find ad+bc (official answer: 7) PDF
• Q.11 (6 April, shift 1) · MCQ · Hyperbola: Hyperbola through a point with eccentricity condition; latus rectum of another (official answer: option 1) PDF
• Q.12 (6 April, shift 1) · MCQ · Parabola: Chord of y^2=12x with ordinates 1:2; sine of angle subtended at focus (official answer: option 1) PDF
• Q.22 (6 April, shift 1) · Numerical · Circle: Circle centre on a line, inscribed equilateral triangle area; chord on x=1 (official answer: 80) PDF
• Q.10 (6 April, shift 2) · MCQ · Circle: Circle touching x-axis with given y-intercept; chord on x - y = 3 (official answer: option 3) PDF
• Q.11 (6 April, shift 2) · MCQ · Ellipse and Hyperbola: Hyperbola parameters from an ellipse; distance between its foci (official answer: option 4) PDF
• Q.12 (6 April, shift 2) · MCQ · Ellipse: Locus of midpoint of focal chord of an ellipse (official answer: option 1) PDF
• Q.23 (6 April, shift 2) · Numerical · Circle: Point on circle equidistant from intersection points with a line (official answer: 18) PDF
• Q.10 (8 April, shift 2) · MCQ · Straight Lines: Locus of midpoint of intercepts of line through intersection point (official answer: option 2) PDF
• Q.11 (8 April, shift 2) · MCQ · Parabola: Locus of midpoint of PQ for perpendicular chords from vertex; latus rectum (official answer: option 2) PDF
• Q.20 (8 April, shift 2) · MCQ · Ellipse: Values of a for which ellipse with decreasing f has major axis on y-axis (official answer: option 2) PDF
• Q.24 (8 April, shift 2) · Numerical · Circle: Locus of foot of perpendicular to chords subtending right angle at origin (official answer: 18) PDF

JEE Main2017

• Q.78 · MCQ · Straight Lines: Orthocentre of triangle with given area PDF
• Q.79 · MCQ · Circle: Radius of smallest circle touching a parabola and lines y = mod x PDF
• Q.80 · MCQ · Ellipse: Normal to ellipse from eccentricity and directrix PDF
• Q.81 · MCQ · Hyperbola: Point on tangent to hyperbola through given point and foci PDF

JEE Main2016

• Q.78 · MCQ · Straight Lines: Vertex of rhombus from two sides and diagonal intersection PDF
• Q.79 · MCQ · Circle: Locus of centres of circles touching a circle and x-axis PDF
• Q.80 · MCQ · Circle: Radius of circle whose chord is a diameter of another circle PDF
• Q.81 · MCQ · Parabola: Circle centred at nearest parabola point through a circle's centre PDF
• Q.82 · MCQ · Hyperbola: Eccentricity of hyperbola from latus rectum and conjugate axis PDF

Coordinate Geometry in other exams

The same chapter in other official papers we tagged: CBSE Class 10 (32 questions), JEE Advanced (51 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 Main?

In the official papers we tagged: 33 in 2026 (9 papers), 4 in 2017 (1 paper) and 5 in 2016 (1 paper). That is 42 questions in all, about 15% of Mathematics.

Which Coordinate Geometry topics repeat in JEE Main?

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

Are these official JEE Main questions?

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