Circles Test

Result

Circles Test - 35

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Weekly Quiz Competition

Question 1
1 / -0

In figure, $$O$$ is center of circle and $$\angle PQR = 115^{0}, \angle POR$$ will be

A
$$130^{0}$$

B
$$230^{0}$$

C
$$270^{0}$$

D
$$360^{0}$$

Solution

Major angle $$\angle POR = 2\angle PQR$$
$$x = 2 \times115^o$$
$$x = 230^{0}$$
Sum of angles formed at center of circle is $$360^{0}$$
$$\therefore \angle POR + x = 360^{0}$$
$$\angle POR + 230^{0} = 360^{0}$$
$$\angle POR = 360^{0} – 230^{0}$$
$$\angle POR = 130^{0}$$
Thus, (A) is correct.
Question 2
1 / -0

To prove "The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord", we prove congruence of which two triangles?

A
$$\triangle AOM \ and \ \triangle BOM$$

B
$$\triangle AOM \ and \ \triangle BOA$$

C
$$\triangle AOB \ and \ \triangle BOM$$

D
$$\triangle AOM \ and \ \triangle MOB$$
Question 3
1 / -0

The center of the circle lies

A
in the interior of the circle

B
in the exterior of the circle

C
on the circle

D
None of these

Solution
Question 4
1 / -0

The shaded portion of the circle represents

A
Semicircle

B
Diameter

C
A sector of the circle

D
Segment
Question 5
1 / -0

A chord divides a circle into two

A
Diameter

B
Semicircle

C
Sectors

D
Segments

Solution
Question 6
1 / -0

In the given figure, $$r$$ represents

A
Radius

B
Diameter

C
Tangent

D
Chord

Solution

$${\textbf{Step -1: Find r.}}$$

$${\text{The distance from the center point to any point on the circle is called the radius of a circle}}$$

$${\text{Here, r is the radius in the figure.}}$$

$${\textbf{Hence, the correct answer is option A.}}$$
Question 7
1 / -0

In the adjoining figure, in $$\triangle OAM \ and \ \triangle OBM$$,
$$ OA = OB $$
$$AM = BM $$
$$OM = OM $$
$$\triangle OAM \ \cong \ \triangle OBM$$
What can you conclude?

A
$$\angle OMA = \angle OMB \not= 90$$

B
$$\angle OMA = \angle OMB = 90$$

C
$$\angle AOB = 90$$

D
None of the above

Solution
Question 8
1 / -0

In the adjoining figure, $$18 in$$ is the length of

A
Radius

B
Diameter

C
Any chord other than the diameter

D
None of these

Solution
Question 9
1 / -0

How many circles pass through 3 non-colinear given points?

A
1

B
2

C
More than 2

D
Infinitely many

Solution
Question 10
1 / -0

In given figure, is possible to draw another circle using points $$X, Y$$ and $$Z$$ which will be different from given circle?

A
Yes

B
No

C
Can't say anything

D
None of these

Solution