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### All questions answers in the last paragraph

## MCQ Questions for Class 10 Mathematics with Answers

## Q1. If a parallelogram circumscribes a circle, then it is a:

(A) Square

(B) Rectangle

(C) Rhombus

(D) None of the above

## Q2. Tangents from an external point to a circle are

(A) equal

(B) not equal

(C) parallel

(D) perpendicular

## Q3. The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

(A) 4 cm

(B) 5 cm

(C) 6 cm

(D) 7 cm

## Q4. A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is

(A) 5 cm

(B) 9 cm

(C) 15 cm

(D) 23 cm

## Q5. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is

(A) 2

(B) 4

(C) 1

(D) 3

## Q6. A circle has a number of tangents equal to

(A) 0

(B) 1

(C) 2

(D) Infinite

## Q7. The length of a tangent from a point A at a distance 5 cm from the center of the circle is 4 cm. The radius of the circle is:

(A) 3cm

(B) 5cm

(C) 7cm

(D) 10cm

## Q8. The length of tangents drawn from an external point to the circle

(A) are equal

(B) are not equal

(C) sometimes are equal

(D) are not defined

## Q9. Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 n cm2, then AB is equal to

(A) 5 cm

(B) 8 cm

(C) 10 cm

(D) 25 cm

## Q10. What is the number of common tangents that can be drawn to two intersecting circles touching at two points?

(A) 2

(B) 4

(C) 3

(D) 1

## Q11. If tangents PA and PB from a point P to a circle with center O are inclined to each other at an angle of 80° then ∠POA is equal to

(A) 50°

(B) 60°

(C) 70°

(D) 80°

## Q12. If the chord of the larger circle of radius b units touches the smaller concentric circle of radius a units, then its length is :

(A) √(a² -b²)

(B) √(b²-a²)

(C) 2√(a²-b²)

(D) 2√(b²-a²)

## Q13. AT is a tangent to a circle at A with center O from an external point T such that OT = 8 cm and ∠OTA = 30°. The length of AT (in cm) is :

(A) √2

(B) 3√2

(C) 4√3

(D) 4

## Q14. A line through point of contact and passing through center of circle is known as

(A) tangent

(B) chord

(C) normal

(D) segment

## Q15. In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the center of the circle, then the length of OP is:

(A) 30cm

(B) 31cm

(C) 28cm

(D) 25cm

## Q16. Number of tangents drawn at a point of the , circle is/are

(A) one

(B) two

(C) none

(D) infinite

## Q17. If TP and TQ are the two tangents to a circle with center O so that ∠POQ = 110°, then ∠PTQ is equal to

(A) 60°

(B) 70°

(C) 80°

(D) 90°

## Q18. A circle can have _____parallel tangents at a single time.

(A) One

(B) Two

(C) Three

(D) Four

## Q19. From a point P which is at a distance of 13 cm from the center O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

(A) 60 cm²

(B) 65 cm²

(C) 30 cm²

(D) 32.5 cm²

## Q20. The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

(A) 4 cm

(B) 5 cm

(C) 6 cm

(D) 7 cm

We hope the given NCERT MCQ Questions for Class 10 Math’s PDF Free Download solution will definitely help you to achieve perfect score. If you have any queries related to CBSE Class 10 Math’s MCQs Multiple Choice Questions with Answers, drop your questions below and will get back to you in no time.

## All questions answers

QUESTIONS NO : | ANSWERS : |

1 | C |

2 | A |

3 | C |

4 | C |

5 | A |

6 | D |

7 | C |

8 | A |

9 | C |

10 | A |

11 | A |

12 | D |

13 | C |

14 | C |

15 | D |

16 | A |

17 | B |

18 | B |

19 | A |

20 | C |

## MCQ Questions for Class 10 Mathematics with Answers

- Chapter 1. Real Numbers Class 10 MCQs
- Chapter 2. Polynomials Class 10 MCQs
- Chapter 3. Pair Of Linear Equations In Two Variables Class 10 MCQs
- Chapter 4. Quadratic Equations Class 10 MCQs
- Chapter 5. Arithmetic Progression Class 10 MCQs
- Chapter 6. Triangles Class 10 MCQs
- Chapter 7. Coordinate Geometry Class 10 MCQs
- Chapter 8. Introduction To Trigonometry Class 10 MCQs
- Chapter 9. Some Applications Of Trigonometry Class 10 MCQs
- Chapter 10. Circles Class 10 MCQs
- Chapter 11. Constructions Class 10 MCQs
- Chapter 12. Areas Related To Circles Class 10 MCQs
- Chapter 13. Surface Areas And Volumes Class 10 MCQs
- Chapter 14. Statistics Class 10 MCQs
- Chapter 15. Probability Class 10 MCQs