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

**Circles CBSE Class 10 MCQ Question No 41:**

A, B, C, D are four distinct points on a circle whose center is O. If ∠OBD – ∠CDB = ∠CBD – ∠ODB, then find the measure of the angle A.

**Option A** : 45^{o}

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

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

**Option D** : 135^{o}

**Show/Hide Answer Key**

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

**Circles CBSE Class 10 MCQ Question No 42:**

PQ is a common chord of the two circles. APB is a secant line joining points A and B respectively on the two circles. Two equal tangents AC and BC are drawn. If ∠ACB = 45^{o}, then find ∠AQB.

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

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

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

**Option D** : 135^{o}

**Show/Hide Answer Key**

**Option D : 135 ^{o}**

**Circles CBSE Class 10 MCQ Question No 43:**

ABCD is a cyclic quadrilateral. Tangents at A and C intersect at P. If ∠ABC = 100^{o}, then find ∠APC.

**Option A** : 10^{o}

**Option B** : 20^{o}

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

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

**Show/Hide Answer Key**

**Option B : 20 ^{o}**

**Circles CBSE Class 10 MCQ Question No 44:**

In the figure below, YAX is a tangent to the circle with center O. If ∠BAX = 70^{o} and ∠BAQ = 40^{o}, then find ∠ABQ.

**Option A** : 20^{o}

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

**Option C** : 35^{o}

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

**Show/Hide Answer Key**

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

**Circles CBSE Class 10 MCQ Question No 45:**

In the figure below, AP = 3 cm, PB = 5 cm, AQ = 2cm and QC = x cm. Find x.

**Option A** : 6 cm

**Option B** : 8 cm

**Option C** : 10 cm

**Option D** : 12 cm

**Show/Hide Answer Key**

**Option D : None of these**

**Circles CBSE Class 10 MCQ Question No 46:**

In the figure below, PT is a tangent to the circle with the radius 6 cm. If the distance between the point P to the center O is 10 cm. If PB = 5 cm, then find the length of chord BC.

**Option A** : 7.8 cm

**Option B** : 8.2 cm

**Option C** : 8.4 cm

**Option D** : 9.3 cm

**Show/Hide Answer Key**

**Option A : 7.8 cm**

**Circles CBSE Class 10 MCQ Question No 47:**

In the figure below, O is the center of the circle. At the point T on the circle tangent UTV is drawn. If ∠VTR = 50^{o} and triangle PTR is an isosceles triangle such that TP = TR, then find the sum (x + y + z).

**Option A** : 175 degree

**Option B** : 208 degree

**Option C** : 218 degree

**Option D** : 250 degree

**Show/Hide Answer Key**

**Option C : 218 degree**

**Circles CBSE Class 10 MCQ Question No 48:**

In the figure below, O is the center of the circle and if ∠AOD = 106^{o}, then find ∠BCD.

**Option A** : 53^{o}

**Option B** : 43^{o}

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

**Option D** : 37^{o}

**Show/Hide Answer Key**

**Option D : 37 ^{o}**

**Circles CBSE Class 10 MCQ Question No 49:**

In the figure below, AB is the diameter of the circle and CD is perpendicular to AB. If AB = 10 cm and AE = 2 cm, then find DE.

**Option A** : 5 cm

**Option B** : 4 cm

**Option C** : √20 cm

**Option D** : √10 cm

**Show/Hide Answer Key**

**Option B : 4 cm**

**Circles CBSE Class 10 MCQ Question No 50:**

In the figure below, if ∠BAD = 60^{o}, ∠ADC = 105^{o}, then ∠DPC is

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

**Option B** : 45^{o}

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

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

**Show/Hide Answer Key**

**Option B : 45 ^{o}**

CBSE Class 10 Maths Chapterwise MCQs |
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1 : Real Numbers MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

2 : Polynomials MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

3 : Linear Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

4 : Quadratic Equations MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

5 : Arithmetic Progression MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

6 : Triangles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

7 : Coordinate Geometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

8 : Introduction to Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

9 : Application of Trigonometry MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

10 : Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

11 : Constructions MCQ | 1 to 10 | 11 to 20 |

12 : Area Related to Circles MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

13 : Surface Area & Volume MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

14 : Statistics MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

15 : Probability MCQ | 1 to 10 | 11 to 20 | 21 to 30 | 31 to 40 | 41 to 50 |

16 : Previous Year Maths MCQs from CBSE Board Class 10| 1 to 100 |