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 Previous Year Questions for JEE

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Syllabus context

Part of Co-ordinate Geometry in JEE Main Mathematics.

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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

The area of circle centred at (1,2) and passing through (4,6) is

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Frequently asked questions

Why practise PYQs 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?

PYQs reveal recurring concepts, common traps, and the difficulty level JEE expects. Solving them builds exam temperament and time management.

Does Goodmarks have actual JEE past papers?

Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus 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, covering the same topics as previous year papers.

How should I use PYQs for Co-ordinate Geometry?

Solve timed sets, review every explanation, note weak subtopics, then revisit with focused practice on Goodmarks.

Are PYQ solutions step-by-step?

Yes. Every question includes the correct answer and a detailed explanation showing the reasoning.