Mathematics · JEE

Co-ordinate Geometry Revision for JEE

115+ syllabus-aligned questions available

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Revise Co-ordinate Geometry by covering every subtopic once, drilling formulas, then solving 110+ timed MCQs with full solutions.

Use this Co-ordinate Geometry revision checklist before mocks and the final exam. Reinforce concepts with 110+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

1.Straight line: forms, angle, distance
2.Circle: standard and general equation
3.Conics: parabola, ellipse, hyperbola
4.Revise Cartesian system of rectangular coordinates in a plane with 10 MCQs
5.Revise Distance formula, sections formula, locus and its equation with 10 MCQs
6.Revise The slope of a line, parallel and perpendicular lines with 10 MCQs
7.Revise Intercepts of a line on the co-ordinate axis with 10 MCQs
8.Revise Straight line: Various forms of equations of a line, intersection of lines, angles between two lines with 10 MCQs
9.Revise Conditions for concurrence of three lines, the distance of a point from a line with 10 MCQs

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

How should I revise Co-ordinate Geometry before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.