Circles MCQ Questions for Class 10 Maths Chapter 10 with Answers

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We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 10 Mathematics book Chapter 10 Circles with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam, Taking the help of the Class 10 Business Studies Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Circles. Each Questions has four options followed by the right answer. Download the Mathematics Quiz Questions with Answers for Class 10 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 10 Mathematics with Answers

Q1. Tangents from an external point to a circle are

(i) equal
(ii) not equal
(iii) parallel
(iv) perpendicular

(i) equal

Q2. 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

(i) 5 cm
(ii) 9 cm
(iii) 15 cm
(iv) 23 cm

(iii) 15 cm c

Q3. A circle has a number of tangents equal to

(i) 0
(ii) 1
(iii) 2
(iv) Infinite

(iv) Infinite

Q4. The length of tangents drawn from an external point to the circle

(i) are equal
(ii) are not equal
(iii) sometimes are equal
(iv) are not defined

(i) are equal

Q5. What is the number of common tangents that can be drawn to two intersecting circles touching at two points?

(i) 2
(ii) 4
(iii) 3
(iv) 1

(i) 2

Q6. If the chord of the larger circle of radius b units touches the smaller concentric circle of radius a units, then its length is :

(i) √(a² -b²)
(ii) √(b²-a²)
(iii) 2√(a²-b²)
(iv) 2√(b²-a²)

(iv) 2√(b²-a²)

Q7. A line through point of contact and passing through centre of circle is known as

(i) tangent
(ii) chord
(iii) normal
(iv) segment

(iii) normal

Q8. Number of tangents drawn at a point of the , circle is/are

(i) one
(ii) two
(iii) none
(iv) infinite

(i) one

Q9. A circle can have _____parallel tangents at a single time.

(i) One
(ii) Two
(iii) Three
(iv) Four

(ii) Two

Q10. 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

(i) 4 cm
(ii) 5 cm
(iii) 6 cm
(iv) 7 cm

(iii) 6 cm

Q11. If ∠APO = 18°, find ∠AOB.

(i) 24°
(ii) 144°
(iii) 108°
(iv) 1 75°

(ii) 144°

Q12. The number of tangents that can be drawn to a circle from a point inside the circle is /are :

(i) 1
(ii) infinite
(iii) 0
(iv) 2

(iii) 0

Q13. The tangents drawn at the extremities of the diameter of a circle are

(i) perpendicular
(ii) parallel
(iii) equal
(iv) none of these

(ii) parallel

Q14. 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

(i) 4 cm
(ii) 5 cm
(iii) 6 cm
(iv) 7 cm

(iii) 6 cm

Q15. The length of the tangent from an external point A on a circle with centre O is

(i) always greater than OA
(ii) equal to OA
(iii) always less than OA
(iv) Cannot be estimated

(iii) always less than OA

Q16. From a point P which is at a distance of 13 cm from the centre 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

(i) 60 cm²
(ii) 65 cm²
(iii) 30 cm²
(iv) 32.5 cm²

(i) 60 cm²

Q17. PQ is a chord of a circle .the tangent XR at X on the circle cuts PQ produced at R. If XR = 12 cm , PQ = x cm, QR = (x – 2)cm , find x in cm.

(i) 6
(ii) 7
(iii) 10
(iv) 14

(iii) 10

Q18. The length of the tangent from a point A out side the circle, of radius 3 cm is 4 cm then distance of A from the centre of the circle is

(i) 7 cm
(ii) 7 cm
(iii) 5 cm
(iv) 25 cm

(iii) 5 cm

Q19. If four sides of a quadrilateral ABCD are tangential to a circle, then

(i) AC + AD = BD + CD
(ii) AB + CD = BC + AD
(iii) AB + CD = AC + BC
(iv) AC + AD = BC + DB

(ii) AB + CD = BC + AD

Q20. From a point P which is at a distance of 13 cm from the centre 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

(i) 60 cm²
(ii) 65 cm²
(iii) 30 cm²
(iv) 32.5 cm²

(i) 60 cm²

Q21. If TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110°, then ∠PTQ is equal to

(i) 60°
(ii) 70°
(iii) 80°
(iv) 90°

(ii) 70°

Q22. In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:​

(i) 30cm
(ii) 31cm
(iii) 28cm
(iv) 25cm

(iv) 25cm

Q23. AT is a tangent to a circle at A with centre O from an external point T such that OT = 8 cm and ∠OTA = 30°. The length of AT (in cm) is :

(i) √2
(ii) 3√2
(iii) 4√3
(iv) 4

(iii) 4√3

Q24. If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80° then ∠POA is equal to

(i) 50°
(ii) 60°
(iii) 70°
(iv) 80°

(i) 50°

Q25. 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

(i) 5 cm
(ii) 8 cm
(iii) 10 cm
(iv) 25 cm

(iii) 10 cm

Q26. The length of a tangent from a point A at a distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is:

(i) 3cm
(ii) 5cm
(iii) 7cm
(iv) 10cm

(iii) 7cm

Q27. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is

(i) 2
(ii) 4
(iii) 1
(iv) 3

(i) 2

Q28. 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

(i) 4 cm
(ii) 5 cm
(iii) 6 cm
(iv) 7 cm

(iii) 6 cm

Q29. If a parallelogram circumscribes a circle, then it is a:

(i) Square
(ii) Rectangle
(iii) Rhombus
(iv) None of the above

(iii) Rhombus

We Think the given NCERT MCQ Questions for class 10 Maths book Chapter 10 Circles with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 10 Mathematics of Circles MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soons.

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