# MCQ Questions for Class 9 Circle with Answers

Students can refer to the following Circle MCQ Questions Class 9 with Answers provided below based on the latest curriculum and examination pattern issued by CBSE and NCERT. Our teachers have provided here collection of multiple choice questions for Circle Class 9 covering all topics in your textbook so that students can assess themselves on all important topics and thoroughly prepare for their exams

## Circle MCQ Questions Class 9 with Answers

We have provided below chapter wise Circle MCQ Questions Class 9 with answers which will help the students to go through the entire syllabus and and practice multiple choice questions provided here with solutions. As Circle MCQs in Class 9 pdf download can be really scoring for students, you should go thorough all problems provided below so that you are able to get more marks in your exams.

#### Circle MCQ Questions Class 9

Question. 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°

Ans.

A

Question. 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

Ans.

D

Question. 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

Ans.

B

Question. 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

Ans.

C

Question. 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

Ans.

D

Question. 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

Ans.

D

Question. 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.

Ans.

A

Question. 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)

Ans.

D

Question. 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

Ans.

A

Question. 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°

Ans.

D

Question. 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

Ans.

B

Question. 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

Ans.

A

Question. 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

Ans.

C

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

Ans.

D

Question. 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°

Ans.

B

Question. 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°

Ans.

B

Question. 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

Ans.

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)

Ans.

B

Question. 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

Ans.

A

Question. 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°

Ans.

D

Our teachers have developed really good Multiple Choice Questions covering all important topics in each chapter which are expected to come in upcoming tests and exams, as MCQs are coming in all exams now therefore practice them carefully to get full understanding of topics and get good marks. Download the latest questions with multiple choice answers for Class 9 Circle in pdf or read online for free.

The above NCERT based MCQs for Class 9 Circle have been designed by our teachers in such a way that it will help you a lot to gain an understanding of each topic. These CBSE NCERT Class 9 Circle Multiple Choice Questions have been developed and are available free for benefit of Class 9 students.

a) MCQs will help the kids to strengthen concepts and improve marks in tests and exams.

b) Circle MCQ Questions Class 9 have proven to further enhance the understanding and question solving skills.

c) Regular reading topic wise questions with choices will for sure develop very good hold over each chapter which will help in exam preparations.

d) It will be easy to revise all Circle chapters and faster revisions prior to class tests and exams.

Free Printable MCQs in PDF of CBSE Class 9 Circle are designed by our school teachers and provide best study material as per CBSE NCERT standards.

Where can I get MCQs for Circle?

You can easily get MCQs for Circle from https://www.cbsencertsolutions.com

Are all chapters covered ?

MCQs cover the topics of all chapters given in NCERT Book for Class 9 Circle.

I want the latest MCQs based on this years syllabus ?

The MCQs for Class 9 Circle with Answers have been developed based on current NCERT textbook issued by CBSE.

Can I print these MCQs ?

Yes – These Multiple Choice Questions for Class 9 Circle with Answers are free to print and use them later.

Are these free or is there any charge for these MCQs ?

No – All MCQs for Circle are free to read for all students.