Class 9 Exam  >  Class 9 Tests  >  Mathematics (Maths) Class 9  >  Test: Circles- 1 - Class 9 MCQ

Test: Circles- 1 - Class 9 MCQ


Test Description

25 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Circles- 1

Test: Circles- 1 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Circles- 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Circles- 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Circles- 1 below.
Solutions of Test: Circles- 1 questions in English are available as part of our Mathematics (Maths) Class 9 for Class 9 & Test: Circles- 1 solutions in Hindi for Mathematics (Maths) Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Test: Circles- 1 | 25 questions in 25 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Mathematics (Maths) Class 9 for Class 9 Exam | Download free PDF with solutions
Test: Circles- 1 - Question 1

In the given figure, ∠BPC = 19o, arc AB = arc BC = arc CD. Then, the measure of ∠APD is

Test: Circles- 1 - Question 2

ABCD is a parallelogram. A circle passes through A and D and cuts AB at E and DC at F. If ∠BEF = 80o, then ∠ABC is equal to

Detailed Solution for Test: Circles- 1 - Question 2

Given, ABCD is a parallelogram and AEFD is a cyclic quadrilateral.
∠BEF=80
Now, ∠ADC=∠BEF=80 (Angle of a cyclic quadrilateral is equal to the opposite exterior angle )
Also, now in parallelogram ABCD,
∠ABC=∠ADC=80 (Opposite angles of a parallelogram are equal)

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Circles- 1 - Question 3

In the given figure, if ∠CDB=40o, then the measure of ∠PAC is

Test: Circles- 1 - Question 4

In the given figure, ABCD is a quadrilateral inscribed in circle with centre O. CD is produced to E. If ∠ADE = 95o and ∠OBA = 30o, then ∠OAC is equal to

Detailed Solution for Test: Circles- 1 - Question 4

Test: Circles- 1 - Question 5

In a figure, O is the centre of the circle with AB as diameter. If ∠AOC = 40o, the value of x is equal to 

Test: Circles- 1 - Question 6

The given figures show two congruent circles with centre O and O’. Arc AXB subtends an angle of 75o at the centre and arc A’YB’ subtends an angle of 25o at the centre O’. Then, the ratio of arcs AXB to A ‘YB’ is

Detailed Solution for Test: Circles- 1 - Question 6

Because the circles are congruent, therefore their radius are same

Length of arc AXB = [θ/(360°)] × 2πr = [(75°)/(360°)] × 2πr

Length of arc A’YB’ = [θ/(360°)] × 2πr = [(25°)/(360°)] × 2πr

Required Ratio = ([(75°)/(360°)] × 2πr) : ([(25°)/(360°)] × 2πr) = 3 : 1

Test: Circles- 1 - Question 7

If a chord of a circle is equal to its radius, then the angle subtended by this chord in major segment is

Test: Circles- 1 - Question 8

The given figure shows two intersecting circles. If ∠ABC = 75o, then the measure of ∠PAD is

Test: Circles- 1 - Question 9

In the given figure, ABCD is a cyclic quadrilateral in which ∠BAD = 75o, ∠ABD = 58o and ∠ADC = 77o , AC and BD intersect at P. the measure of ∠DPC is

Detailed Solution for Test: Circles- 1 - Question 9

∠DBA = ∠DCA = 58° …(1)

[Angles in same segment]  ABCD is a cyclic quadrilateral : 

Sum of opposite angles = 180 degrees 

∠A +∠C = 180° 

75° + ∠C = 180° 

∠C = 105° 

Again, 

∠ACB + ∠ACD = 105° 

∠ACB + 58° = 105° 

or ∠ACB = 47° …(2) 

Now,  ∠ACB = ∠ADB = 47° [Angles in same segment] 

Also, ∠D = 77° (Given) 

Again From figure, ∠BDC + ∠ADB = 77° 

∠BDC + 47° = 77° 

∠BDC = 30° 

In triangle DPC 

∠PDC + ∠DCP + ∠DPC = 180° 

30° + 58° + ∠DPC = 180° 

or ∠DPC = 92° 

Test: Circles- 1 - Question 10

For what value of x in the figure, points A, B, C and D are concyclic ?

Test: Circles- 1 - Question 11

Greatest chord of a circle is called its

Test: Circles- 1 - Question 12

In the given figure PQ and RS are two equal chords of a circle with centre O. OA and OB are perpendiculars on chords PQ and RS, respectively. If ∠AOB = 140o, then ∠PAB is equal to

Test: Circles- 1 - Question 13

In the given figure, chords AB and CD intersect at P. If ∠DPB = 88o and ∠DAP = 46o, then the measure of ∠ABC is

Test: Circles- 1 - Question 14

AD is diameter of a circle and AB is a chord. If AD = 50 cm, AB = 48 cm, then the distance of AB from the centre of the circle is

Test: Circles- 1 - Question 15

In the given figure, O is the centre of the circle. If ∠CAB = 40o and ∠CBA = 110o, the value of x is :

Test: Circles- 1 - Question 16

Angle formed in minor segment of a circle is

Test: Circles- 1 - Question 17

In the given figure PQ = QR = RS and ∠PTS = 75o then the measure of ∠QOR is

Test: Circles- 1 - Question 18

In the given figure, O is the centre of the circle ABE is a straight line,. If ∠DBE = 95o then ∠AOD is equal to

Test: Circles- 1 - Question 19

The given figure shows two congruent circles with centre O and O’ intersecting at A and B. If ∠AO′B = 50o, then the measure of ∠APB is

Test: Circles- 1 - Question 20

Angle inscribed in a semicircle is :

Detailed Solution for Test: Circles- 1 - Question 20

Test: Circles- 1 - Question 21

Number of circles that can be drawn through three non-collinear points is

Test: Circles- 1 - Question 22

In the given figure, if ∠ABC = 50o and ∠BDC = 40o, then ∠BCA is equal to

Test: Circles- 1 - Question 23

In the given figure, chords AB and CD intersect each other at right angles. Then, ∠x+∠y is equal to

Test: Circles- 1 - Question 24

In the given figure if ∠CAB = 49o and ∠ADC = 43o, then the measure of ∠ACB is

Test: Circles- 1 - Question 25

In the given figure, O is the centre of the circle. If ∠QPR is 50o, then ∠QOR is :

44 videos|412 docs|55 tests
Information about Test: Circles- 1 Page
In this test you can find the Exam questions for Test: Circles- 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Circles- 1, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 9

44 videos|412 docs|55 tests
Download as PDF

Top Courses for Class 9