Mathematics · JEE

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

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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 tangents drawn at the ends of a diameter of a circle are ?

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What makes a Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre 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 Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre. Prioritise these before moving to edge cases.

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