Mathematics · JEE

Co-ordinate Geometry Concepts for JEE

115+ syllabus-aligned questions available

Quick answer

Master Co-ordinate Geometry by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Co-ordinate Geometry before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Co-ordinate Geometry covering 11 JEE syllabus subtopics including 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.

Key points

Understand the definition and scope of Cartesian system of rectangular coordinates in a plane in the JEE syllabus
Memorise key formulas and standard results linked to Cartesian system of rectangular coordinates in a plane
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
Understand the definition and scope of Distance formula, sections formula, locus and its equation in the JEE syllabus
Memorise key formulas and standard results linked to Distance formula, sections formula, locus and its equation
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Cartesian system of rectangular coordinates in a plane with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Cartesian system of rectangular coordinates in a plane and reattempt after 48 hours
Revise Distance formula, sections formula, locus and its equation with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Distance formula, sections formula, locus and its equation and reattempt after 48 hours

Common trap

Students often rush Cartesian system of rectangular coordinates in a plane questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

JEE Formula Sheet

73+ important formulas for Co-ordinate Geometry

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Subtopics in Co-ordinate Geometry

View Co-ordinate Geometry formula sheet — 73+ JEE formulas

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

If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all of which are

Q6MathsUnit 10: Co-ordinate Geometry

n the given figure, which of the following is a line of symmetry?

Q7MathsUnit 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}=

Q8MathsUnit 10: Co-ordinate Geometry

The lengths of the perpendicular from the points

\left(\boldsymbol{m}^{2}, \boldsymbol{2 m}\right),\left(\boldsymbol{m m}^{\prime}, \boldsymbol{m}+\boldsymbol{m}^{\prime}\right)

and

\left(m^{\prime 2}, 2 m^{\prime}\right)

to the line

x+y+1=0

form

\cos \alpha+y \sin \alpha+\sin \alpha \tan \alpha=0

are in

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Frequently asked questions

What concepts in Co-ordinate Geometry are essential for JEE?

Focus on core ideas across 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, and more. JEE tests application, not just memorisation.