Hi students, Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * MCQ Questions for Class 10 Maths Chapter 10 Circles with Answer Keys PDF*. You can download this PDF and save it in your mobile device or laptop etc.

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 1:**

From an external point Q, the length of tangent to a circle is 12 cm and the distance of Q from the centre of circle is 13 cm. The radius of circle (in cm) is

**Option A** : 10

**Option B** : 12

**Option C** : 5

**Option D** : 7

**Show/Hide Answer Key**

**Option B : 12**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 2:**

Two circle touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB =

**Option A** : 60 degrees

**Option B** : 45 degrees

**Option C** : 30 degrees

**Option D** : 90 degrees

**Show/Hide Answer Key**

**Option D : 90 degrees**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 3:**

QP is a tangent to a circle with centre O at a point P on the circle. If triangle OPQ is isosceles, then ∠OQR

**Option A** : 30 degrees

**Option B** : 45 degrees

**Option C** : 60 degrees

**Option D** : 90 degrees

**Show/Hide Answer Key**

**Option B : 45 degrees**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 4:**

If TP and TQ are two tangents to a circle with centre O so that ∠POQ = 110°, then, ∠PTQ is equal to

**Option A** : 60 degrees

**Option B** : 70 degrees

**Option C** : 80 degrees

**Option D** : 90 degrees

**Show/Hide Answer Key**

**Option B : 70 degrees**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 5:**

A chord of a circle of radius 10 cm, subtends a right angle at its centre. The length of the chord (in cm) is

**Option A** : 5/√2 cm

**Option B** : 5√2 cm

**Option C** : 10√2 cm

**Option D** : 10√2 cm

**Show/Hide Answer Key**

**Option C : 10√2 m**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 6:**

Tangents from an external point to a circle are

**Option A** : equal

**Option B** : not equal

**Option C** : parallel

**Option D** : perpendicular

**Show/Hide Answer Key**

**Option A : equal**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 7:**

In figure, O is the centre of circle. PQ is a chord and PT is tangent at P which makes an angle of 50c with PQ, then ∠POQ is

**Option A** : 130^{o}

**Option B** : 90^{o}

**Option C** : 100^{o}

**Option D** : 75^{o}

**Show/Hide Answer Key**

**Option C : 100 ^{o}**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 8:**

Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 cm^{2}, then AB is equal to

**Option A** : 5 cm

**Option B** : 8 cm

**Option C** : 10 cm

**Option D** : 25 cm

**Show/Hide Answer Key**

**Option C : 10 cm**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 9:**

In figure, AP, AQ and BC are tangents of the circle with centre O. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) is

**Option A** : 15

**Option B** : 10

**Option C** : 9

**Option D** : 7.5

**Show/Hide Answer Key**

**Option D : 7.5**

**MCQ Questions for Class 10 Maths Chapter 10 Circles Question No 10:**

A line through point of contact and passing through centre of circle is known as

**Option A** : tangent

**Option B** : chord

**Option C** : normal

**Option D** : secant

**Show/Hide Answer Key**

**Option C : normal**