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

**Circles MCQ Questions for Class 10 Question No 11:**

The angle between a tangent to a circle and the radius through the point of contact is

**Option A** : 60 degrees

**Option B** : 90 degrees

**Option C** : 120 degrees

**Option D** : 180 degrees

**Show/Hide Answer Key**

**Option B : 90 degrees**

**Circles MCQ Questions for Class 10 Question No 12:**

If two circles of radii 5 cm and 3 cm touch each other internally, then the distance between their centers is equal to

**Option A** : 2

**Option B** : 3

**Option C** : 5

**Option D** : 8

**Show/Hide Answer Key**

**Option A : 2**

**Circles MCQ Questions for Class 10 Question No 13:**

Tangents PQ and PR are drawn to a circle from an external point P. If PQ = 9 cm and ∠PQR = 60^{o}, then find the length of QR.

**Option A** : 4.5 cm

**Option B** : 6 cm

**Option C** : 9 cm

**Option D** : 18 cm

**Show/Hide Answer Key**

**Option C : 9 cm**

**Circles MCQ Questions for Class 10 Question No 14:**

In the figure below, TA and TB are tangents drawn from an external point T. PQ is another tangent at S. If the perimeter of ∆PTQ is 20 cm, then the length of AT is

**Option A** : 8 cm

**Option B** : 10 cm

**Option C** : 16 cm

**Option D** : 20 cm

**Show/Hide Answer Key**

**Option B : 10 cm**

**Circles MCQ Questions for Class 10 Question No 15:**

In figure below, AC, CE and EH are tangents drawn to the circle at B, D and F respectively. If CB = 5 cm, EF = 3 cm, then the length of CE is

**Option A** : 2 cm

**Option B** : 5 cm

**Option C** : 3 cm

**Option D** : 8 cm

**Show/Hide Answer Key**

**Option D : 8 cm**

**Circles MCQ Questions for Class 10 Question No 16:**

In figure below, if ∠PAO = 30^{o}, then find the angle ∠POQ.

**Option A** : 60^{o}

**Option B** : 120^{o}

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

**Option D** : 30^{o}

**Show/Hide Answer Key**

**Option B : 120 ^{o}**

**Circles MCQ Questions for Class 10 Question No 17:**

In the figure below, O is the centre of the circle, AB is a chord and AT is the tangent at A. If ∠AOB = 100^{o}, then find the angle ∠BAT.

**Option A** : 40^{o}

**Option B** : 60^{o}

**Option C** : 70^{o}

**Option D** : 50^{o}

**Show/Hide Answer Key**

**Option D : 50 ^{o}**

**Circles MCQ Questions for Class 10 Question No 18:**

In the figure below, AB, AC and AD are tangents. If AB = 5 cm, then find the length of AD.

**Option A** : 4

**Option B** : 3

**Option C** : 5

**Option D** : 6

**Show/Hide Answer Key**

**Option C : 5**

**Circles MCQ Questions for Class 10 Question No 19:**

Two concentric circles are of radii 5 cm and 3 cm. The length of the chord of the larger circle which touches the smaller circle is

**Option A** : 8

**Option B** : 10

**Option C** : 12

**Option D** : 18

**Show/Hide Answer Key**

**Option A : 8**

**Circles MCQ Questions for Class 10 Question No 20:**

In the figure below, if TP and TQ are the two tangents to a circle with the center O so that ∠POQ = 110 degrees, then find the value of the angle ∠PTQ.

**Option A** : 60^{o}

**Option B** : 70^{o}

**Option C** : 80^{o}

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

**Show/Hide Answer Key**

**Option B : 70 ^{o}**