# Circles

15 Questions | Total Attempts: 864  Settings  Time: 30 Minute

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• 1.
The distance of a chord 8 cm from the center of a circle of a circle of radius 5 cm is:
• A.

2 cm

• B.

3 cm

• C.

4 cm

• D.

9 cm

• 2.
The number of points that can be drawn through three non-collinear points is:
• A.

Zero

• B.

Only one

• C.

Three

• D.

Infinite

• 3.
For what value of x in the figure, points A, B, C and D are concyclic?
• A.

9o

• B.

10o

• C.

11o

• D.

12o

• 4.
Two circles are said to be concentric, if:
• A.

• B.

• C.

They have the same center

• D.

Their centers are collinear

• 5.
In a circle with center O, chords AB and CD are of length 5 cm and 6 cm respectively, and subtend angle xo and yo at the center of circle respectively, then
• A.

Xo = yo

• B.

Xo < yo

• C.

Xo > yo

• D.

None of the above

• 6.
In the given figure, the of y is:
• A.

35°

• B.

70 + x

• C.

70 – x

• D.

140o

• 7.
In the given figure, if ∠PQR =40o, then the value of ∠PSR is:
• A.

40o

• B.

60o

• C.

80o

• D.

90o

• 8.
In the figure, AOB is the diameter of the circle and AC = BC. Then ∠CAB is:
• A.

30o

• B.

45o

• C.

60o

• D.

90o

• 9.
• A.

5 cm

• B.

7.5 cm

• C.

10 cm

• D.

None of these

• 10.
A chord of a circle divides the circular region into two parts, the region which contains the center is known as:
• A.

Major Arc

• B.

Minor Arc

• C.

Minor Segment

• D.

Major Segment

• 11.
In the given figure, O is the center of the circle, OA = 10 cm and OC = 6 cm. The length of AB is:
• A.

8 cm

• B.

10 cm

• C.

12 cm

• D.

16 cm

• 12.
An equilateral ΔABC is inscribed in a circle with center O. The measure of ∠BOC is:
• A.

100o

• B.

110o

• C.

120o

• D.

130o

• 13.
If ∠C = ∠A = 50o then four points A, B, C, D:
• A.

Are concyclic

• B.

Do not lie on the same circle

• C.

Are collinear

• D.

A, B, D and A, B, C lie on different circles

• 14.
In the given figure, if POQ is a diameter of the circle and PR = QR, then ∠RPQ is equal to:
• A.

30o

• B.

45o

• C.

60o

• D.

90o

• 15.
AD is a diameter of a circle and AB is a chord. If AD = 34 cm and AB = 30 cm, the distance of AB from the center of the circle is:
• A.

17 cm

• B.

15 cm

• C.

8 cm

• D.

4 cm