NCERT Class 10 Chapter 11 Circles CBSE Board Sample Problems Multiple Choice Question

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How many tangents can be drawn from an external point to a circle?

1. 1

2. 2

3. 3

4. 4


The angle between two radii of a circle is 130, the angle between the tangents is

1. 90

2. 50

3. 70

4. 40


A point P is 13 cm from the center of a circle .Radius of the circle is 5 cm.

A tangent is drawn from point P to the circle, then the length of the tangent is:

1. 10

2. 11

3. 12

4. 13


A tangent PQ at point P of a circle of radius 12 cm meets a line through the center O to a point Q so that OQ= 20 cm . Length PQ is

1. 14

2. 15

3. 16

4. 10


Which of the following pairs of lines in a circle cannot be parallel?

1. Two chords

2. A chord and a tangent

3. Two tangents

4. Two diameters


If PA and PB are two tangents to a circle with, then centre O such that AOP is:

1. 40

2. 50\text degree

3. 60\text degree

4. 70\text degree


The lengths of three consecutive sides of a quadrilateral circumscribing a circle are 4cm, 5 cm and 7cm. Find the length of the fourth side of the quadrilateral.

1. 7cm

2. 6cm

3. 8 cm

4. 9 cm


AB and CD are two common tangents to circles which touch each other at C. If D lies on AB such that CD = 4cm then AB is equal to:

1. 4 cm

2. 6cm

3. 8cm

4. 12cm


A parallelogram circumscribing a circle is a:

1. Rhombus

2. Square

3. Rectangle

4. Trapezium


Find the distance between two parallel tangents of a circle whose radius is 3.5 cm.

1. 7cm

2. 3.5cm

3. 10cm

4. Cannot be determined.


If tangents AB and AC from a point A to a circle with centre O are inclined to each other at an angle of 4O then is


If radii of the two circles are 6 cm and 10 cm then the length of the chord of one circle which is tangent to other is

1. 8cm

2. 16cm

3. 20cm

4. 10cm


The length of tangent drawn to a circle with radius 7 cm from a point 25 cm away the centre, is

1. 24cm

2. 27cm

3. 26cm

4. 25cm