Mathematics · JEE

Online Practice: Co-ordinate Geometry for JEE

48+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Co-ordinate Geometry with 48+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Co-ordinate Geometry. Goodmarks offers 48+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

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

How do I practice Co-ordinate Geometry online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Co-ordinate Geometry question bank with topic filters and detailed explanations.

How many Co-ordinate Geometry questions are available?

Goodmarks currently has 48+ JEE-aligned MCQs for Co-ordinate Geometry, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and 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, Intercepts of a line on the co-ordinate axis, and more.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.