Circles Test

Result

Circles Test - 19

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Question 1
1 / -0

How many common tangents can be drawn?

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

Since the circles touch each other internally, only one common tangent is possible.
So, option B is correct.
Question 2
1 / -0

Which is a tangent?

A
MN

B
ON

C
PQ

D
None

Solution

Tangent touches the circle at one point.
So, option A is correct.
Question 3
1 / -0

How many common tangents can be drawn?

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

3 common tangents can be drawn.
So, option D is correct.
Question 4
1 / -0

The tangent touches the circle at only ....... point

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

Tangent touches the circle only at one point.
Question 5
1 / -0

Which one is greater; No of tangents possible to $$C_1$$ and $$C_2$$ from $$P_4$$

A
To $$C_1$$

B
To $$C_2$$

C
Both are same

D
No tangents

Solution

From $$P_4$$, we can draw $$2$$ tangents to each $$C_1$$ and $$C_2$$.
Hence, same number of tangents can be drawn to each of the circles, from $$P_4$$.
Question 6
1 / -0

Find the point of contact in a circle.

A
$$A$$

B
$$O$$

C
$$B$$

D
$$C$$

Solution

The point of contact in a circle is the point where the tangent line touches the circle. Hence, $$A$$ is the point of contact of the circle for tangent $$BC.$$
Question 7
1 / -0

How many tangents are possible to a given circle?

A
One

B
Two

C
Zero

D
Infinite

Solution

Infinite tangents can be drawn to a given circle from infinite points.
Question 8
1 / -0

The point at which the line touching the circle is called

A
chord

B
point of contact

C
secant

D
sector

Solution

The line touching the circle is called point of contact.
Here, $$A$$ is the point of contact.
Question 9
1 / -0

Which is a secant?

A
MN

B
ON

C
PQ

D
None

Solution

Secant touches the circle at two points.
So, option C is correct.
Question 10
1 / -0

Identify the point of contact in a given circles.

A
P

B
A

C
B

D
X

Solution

$$P$$ is the point of contact in a circles.
The point of contact in a circle is a point where the tangent touching the circles.