Number of Tangents Drawn a Given Point

Q.

How many tangents can be drawn to a circle?

1. 1

2. Infinite

3. 0

4. 2

Q. The number of tangents that can be drawn at a point on the circle is ___.

Q. A _______ intersects a circle in exactly one point.

1. chord
2. arc
3. tangent
4. secant

Q.

In the given figure, a line intersects a circle in two points A and B. Now a point P, as shown in the figure, is fixed and the line is rotated about P in both directions until the points A and B coincide. How many times will they coincide?

1. 1

2. 2

3. 0

4. Infinite

Q.

There cannot be any tangent drawn to the circle through a point ____ the circle.

1. 66 cm

2. 198 cm

3. 19.8 cm

4. 22 cm

Q.

The maximum number of common tangents that can be drawn to two given circles is

1. 1

2. 2

3. 3

4. 4

Q. The number of tangents that can be drawn at a point on the circle is ___.

Q.

How many tangents can be drawn to a circle through the points A, B and C as shown?

1. 0, 1, 2

2. 1, 0, 2

3. 2, 1, 0

4. 2, 0, 1

Q. Which of the following statements are true?
1) No tangents can be drawn to a circle from an interior point.
2) Only two tangents, at most, can be drawn to a circle from an exterior point.

1. Only 1
2. Only 2
3. Both 1 and 2
4. No statement is true

Q. The maximum number of tangents that can be drawn to a circle from an external point is ___.