# NCERT Class 10 Chapter 11 Circles CBSE Board Sample Problems Multiple Choice Question (For CBSE, ICSE, IAS, NET, NRA 2022)

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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