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

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## Question

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

1. 1

2. 2

3. 3

4. 4

## Question

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

1. 90

2. 50

3. 70

4. 40

## Question

**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

## Question

**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

## Question

**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

## Question

**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

## Question

**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

## Question

**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

## Question

**A parallelogram circumscribing a circle is a:**

1. Rhombus

2. Square

3. Rectangle

4. Trapezium

## Question

**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.

## Question

**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**

## Question

**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

## Question

**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