Mathematics · JEE

Important Questions: Co-ordinate Geometry for JEE

48+ syllabus-aligned questions available

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The most important Co-ordinate Geometry questions for JEE cover conceptual traps, standard results, and numerical patterns from 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. Goodmarks provides 48+ high-yield MCQs with full solutions.

Focus on what matters most. These important Co-ordinate Geometry questions cover high-weightage concepts from 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 — the topics JEE repeats every year.

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

What makes a Co-ordinate Geometry question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Co-ordinate Geometry are high-weightage?

Key areas include 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. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.