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 Mock Test for JEE

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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

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

Q9MathsUnit 10: Co-ordinate Geometry

What is the shape of each face of a cube?

Q10MathsUnit 10: Co-ordinate Geometry

If radius of circle is

5 \mathrm{cm}

and distance from centre to the point of intersection of 2 tangents in

13 \mathrm{cm} .

Find length of tangent.

Q11MathsUnit 10: Co-ordinate Geometry

Chord

A B

of the circle

x^{2}+y^{2}=100

passes through the point (7,1) and subtends an angle of

60^{\circ}

at the circumference of the circle. If

m_{1}

and

m_{2}

are the slopes of two such chords then the value of

m_{1} m_{2},

Q12MathsUnit 10: Co-ordinate Geometry

If we join any two points on a circle through centre, we get a

Q13MathsUnit 10: Co-ordinate Geometry

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

Q14MathsUnit 10: Co-ordinate Geometry

The internal and external diameters of a hollow hemispherical vessel are

24 \mathrm{cm}

and

25 c m,

respectively. The cost to paint

1 \mathrm{cm}^{2}

surface is

R s .0 .05 .

Find the total cost to paint the vessel all over. (use

\left.\pi=\frac{22}{7}\right)

Q15MathsUnit 10: Co-ordinate Geometry

Which one of the following statement is INCORRECT?

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