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This mock test of Test: Circles- 1 for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Test: Circles- 1 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Circles- 1 quiz give you a good mix of easy questions and tough questions. Class 9
students definitely take this Test: Circles- 1 exercise for a better result in the exam. You can find other Test: Circles- 1 extra questions,
long questions & short questions for Class 9 on EduRev as well by searching above.

QUESTION: 1

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

Solution:

QUESTION: 2

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

Solution:

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)

QUESTION: 3

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

Solution:

QUESTION: 4

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

Solution:

QUESTION: 5

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

Solution:

QUESTION: 6

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

Solution:

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

QUESTION: 7

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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

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

Solution:

QUESTION: 11

Greatest chord of a circle is called its

Solution:

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 = 140^{o}, then ∠PAB is equal to

Solution:

QUESTION: 13

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

Solution:

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

Solution:

QUESTION: 15

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

Solution:

QUESTION: 16

Angle formed in minor segment of a circle is

Solution:

QUESTION: 17

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

Solution:

QUESTION: 18

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

Solution:

QUESTION: 19

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

Solution:

QUESTION: 20

Angle inscribed in a semicircle is :

Solution:

QUESTION: 21

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

Solution:

QUESTION: 22

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

Solution:

QUESTION: 23

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

Solution:

QUESTION: 24

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

Solution:

QUESTION: 25

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

Solution:

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