Mathematics · JEE

Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre Concepts for JEE

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Quick answer

Master Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre is a core JEE Main Mathematics subtopic under Co-ordinate Geometry. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre in the JEE syllabus
Memorise key formulas and standard results linked to Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre and reattempt after 48 hours

Common trap

Students often rush Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Co-ordinate Geometry in JEE Main Mathematics.

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

The distance from the centre to the circumference.

Q3MathsUnit 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.

Q4MathsUnit 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?

Q5MathsUnit 10: Co-ordinate Geometry

Find the equation of the circle which passes through the points (2,-2) and

(3,4) .

And whose centre lies on the line

\boldsymbol{x}+\boldsymbol{y}=\mathbf{2}

Q6MathsUnit 10: Co-ordinate Geometry

Two parallel chords

A B

and

C D

are 3.9 cm apart and lie on opposite sides of the centre of a circle. If

A B=1.4 \mathrm{cm}

and

C D=4 \mathrm{cm},

find the radius of the circle.

Q7MathsUnit 10: Co-ordinate Geometry

In the figure,

\boldsymbol{O}

is the point of intersection of two chords

A B

and

C D

such that

O B=O D

, then triangles

O A C

and

O D B

are:

Q8MathsUnit 10: Co-ordinate Geometry

What is the shape of each face of a cube?

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Frequently asked questions

What concepts in Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre are essential for JEE?

Focus on core ideas across Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre. JEE tests application, not just memorisation.