# Class 9 Math Chapter 10 Circle MCQ Questions with Answer

Circle Class 9 MCQ is one of the best strategies to prepare for the CBSE Class 9 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Circle class 9 MCQ which will help them all through their board test.

## Circle Class 9 MCQ Questions with Answer

Class 9 Math MCQ with answers are given here to Chapter 10 Circle. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 9 Math syllabus. By Solving these Class 9 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 9 Annual exam.

Learn Circle Class 9 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 9 Circle MCQ with answers given below.

Question 1. In the given figure, a circle touches the side BC of DABC at P and touches AB and AC produced at Q and R r e s p e c t i v e l y. I f AQ = 5 cm, find the perimeter of DABC.
(A) 11 cm
(B) 10 cm
(C) 6 cm
(D) 7 cm

B

Question 2. In the given figure, AB and PQ intersect at M. If A and B are centres of circles then ________.
(A) PM = MQ
(B) PQ ⊥ AB
(C) Both (A) and (B)
(D) PQ = AB

C

Question 3. In the given figure, PT touches the circle at R whose centre is O. Diameter SQ when produced meets PT at P. Given ∠SPR = x° and ∠QRP = y°. Then,

(A) x° + 2y° = 90°
(B) 2x° + y° = 90°
(C) x° + y° = 120°
(D) 3x° + 2y° = 120°

A

Question 4. In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB = 6 cm, BC = 7 cm, CD = 4 cm, then AD equals ________.
(A) 10 cm
(B) 13 cm
(C) 11 cm
(D) 3 cm

D

Question 5. A circle inscribed in DABC having AB = 10 cm, BC = 12 cm, CA = 28 cm touching sides at D, E, F (respectively). Then AD + BE + CF is ________.
(A) 25 cm
(B) 20 cm
(C) 22 cm
(D) 18 cm.

A

Question 6. In the given figure, O is the centre of the circle, then ∠XOZ is ________.
(A) 2 ∠XZY
(B) 2 ∠Y
(C) 2 ∠Z
(D) 2(∠XZY + ∠YXZ)

D

Question 7. Two circles of radii 10 cm and 8 cm intersect each other and the length of common chord is 12 cm. The distance between their centres is ________.
(A) √7 cm
(B) 3 √7 cm
(C) 4 √7 cm
(D) (8 + 2 √7) cm

D

Question 8. In the following figure, PT is of length 8 cm. OP is 10 cm. Then the radius of the circle is ________
(A) 2 cm
(B) 18 cm
(C) (5/4) cm
(D) 6 cm

D

Question 9. In the given figure, O is the centre and SAT is a tangent to the circle at A. If ∠BAT = 30°, find ∠AOB and ∠AQB.
(A) 60°, 150°
(B) 30°, 150°
(C) 60°, 60°
(D) None of these

A

Question 10. In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30°, then
BA : AT is
(A)   3 : 1 P
(B)   4 : 1
(C)   2 : 1
(D)   3 : 2

C

Whoever needs to take the CBSE Class 9 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 9 Math Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Circle Class 9 MCQ are ready by the subject specialists themselves.

Question 11. How many tangents can a circle have?
(A) 1
(B) 2
(C) 4
(D) Infinite

D

Question 12. In the given figure, O is the centre of the circle. If PA and PB are tangents, then the value of ∠AQB is
(A) 100°
(B) 80° 80° Q
(C) 60°
(D) 50°

D

Question 13. Two concentric circles of radii a and b, where a > b, are given. The length of a chord of the larger circle which touches the other circle is
(A) √a2 − b2
(B) 2 √a2 − b2
(C) √a2 + b2
(D) 2 √a2 + b2

B

Question 14. Let s denote the semiperimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively ,find BD.
(A) s – b
(B) 2s + h
(C) b + s
(D) 3b – s

A

Question 15. AB is a chord of length 24 cm of a circle of radius 13 cm. The tangents at A and B intersect at a point C. Find the length AC.
(A) 31.2 cm
(B) 12 cm
(C) 28.8 cm
(D) 25 cm

A

Question. Match the columns.
Column-I                                    Column-II
(a) Radius of the given circle is          (p) 20 cm

(b) In the given figure, value of x is     (q) 6 cm

(c) Perimeter of DPST with PQ = 10 cm is   (r) 5 cm

(A) (a) → (p), (b) → (r), (c) → (q)
(B) (a) → (r), (b) → (q), (c) → (p)
(C) (a) → (q), (b) → (r), (c) → (p)
(D) (a) → (r), (b) → (p), (c) → (q)

B

Question 16. If O is the centre of a circle, AOC is its diameter and B is a point on the circle such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, then ∠BAT =
(A) 40°
(B) 50°
(C) 60°
(D) 65°

B

Question 17. The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the the bigger circle. BD is a tangent to the smaller circle touching it at D. Find the length AD.
(A) 19 cm
(B) 20 cm
(C) 16 cm
(D) √105 cm

A

Question 18. In the given figure, O is the centre of a circle; PQL and PRM are the tangents at the points Q and R respectively and S is a point on the circle such that ∠SQL = 50° and ∠SRM = 60°. Then, find ∠QSR and ∠RPQ.
(A) 40°, 140°
(B) 50°, 140°
(C) 60°, 120°
(D) 70°, 40°

D

Question 19. In the given figure, A and B are the centres of two circles that intersect at X and Y. PXQ is a straight line. If reflex angle QBY = 210°, find obtuse angle PAY.
(A) 210°
(B) 150°
(C) 160°
(D) 120°

B

You can easily get good marks If you study with the help of Class 9 Circle MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 9 Circle PDF Free Download would without a doubt create positive results.

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