Mathematics · JEE

Co-ordinate Geometry Previous Year Questions for JEE

48+ syllabus-aligned questions available

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Goodmarks offers 48+ JEE-style PYQs for Co-ordinate Geometry with detailed solutions. While official past papers rotate yearly, our bank covers the same concepts, difficulty, and question formats tested in JEE Mathematics.

Previous year questions are the fastest way to understand how Co-ordinate Geometry is tested in JEE. Practise 48+ exam-pattern MCQs modelled on JEE Main and Advanced, with full solutions for every question.

Subtopics in Co-ordinate Geometry

Cartesian system of rectangular coordinates in a plane
Distance formula, sections formula, locus and its equation
The slope of a line, parallel and perpendicular lines
Intercepts of a line on the co-ordinate axis
Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
Conditions for concurrence of three lines, the distance of a point from a line
Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
Equation of a circle when the endpoints of a diameter are given
Points of intersection of a line and a circle with the centre at the origin
Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms

Free sample questions

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Q1MathsUnit 10: Co-ordinate Geometry

Draw a circle with centre

O

and radius

6 \mathrm{cm} .

Take a point

P

outside the circle at a distance of

10 \mathrm{cm}

from

0 .

Draw tangents to the circle from point

P .

Let the tangents intersect the circle in points

A

and

B

. Find the area of triangle OBPin sq.cm.

Q2MathsUnit 10: Co-ordinate Geometry

P

is any point on the circumcircle of

\triangle A B C

other than the vertices.

H

is the orthocenter of

\triangle A B C, M

is the mid- point of

\boldsymbol{P H}

and

\boldsymbol{D}

is the mid-point of

B C .

Then

Q3MathsUnit 10: Co-ordinate Geometry

The distance from the centre to the circumference.

Q4MathsUnit 10: Co-ordinate Geometry

The ratio of the outer and inner perimeters of a circular path is 23: 22 If the path is

5 \mathrm{m}

wide what is the diameter of the circle? Also find the area of path enclosed between the two circles.

Q5MathsUnit 10: Co-ordinate Geometry

E

and

F

are the mid-point of sides

B C

CA and

A B

\triangle A B C,

then area

\triangle A B C

area

\triangle \mathrm{DEF}=

Q6MathsUnit 10: Co-ordinate Geometry

Between a square of perimeter

44 \mathrm{cm}

and a circle of circumference

44 \mathrm{cm}

which figure has a larger area and by how much?

Q7MathsUnit 10: Co-ordinate Geometry

In the triangle

A B C, P Q

is parallel to

B C .

Find the length of

x

and

y

Q8MathsUnit 10: Co-ordinate Geometry

Solve graphically, the following pairs of equations:

2 x+y=23

4 x-y=19

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Frequently asked questions

Why practise PYQs for Co-ordinate Geometry?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Co-ordinate Geometry, covering the same topics as previous year papers.

How should I use PYQs for Co-ordinate Geometry?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.