No. of Tangents to a Circle from a Given Point

Q. There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?

1. P is on the circle.
2. O and P are coincident points.
3. P is outside the circle.
4. P is inside the circle.

Q. The line joining the centre of a circle and the point from which two tangents are drawn bisects the angle between the tangents.

1. True
2. False

Q.

The lengths of tangents drawn from a point outside a circle are not equal.

1. True

2. False

Q.

From which point shown below can we draw one tangent to the following circle?

1. Not possible through both Q and R

2. R

3. Both Q and R

4. Q

Q.

There is a circle with centre O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?

1. P is inside the circle.

2. P is on the circle.

3. P is outside the circle.

4. None of these

Q.

There is a circle with centre O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?

1. P is outside the circle.

2. P is inside the circle.

3. P is on the circle.

4. O and P are co-incident points.

Q.

Any point P that does not lie inside the circle has at least one tangent to the circle.

1. True

2. False

Q.

From which point shown below can we draw two tangents to the following circle?

P is a point outside the circle, R inside the circle and Q lies on the circle.

__

Q.

Which of the following is not true for a point P on the circle?

1. Only 1 tangent can be drawn from point P

2. Perpendicular to the tangent passes through the centre

3. There are 2 tangents to the circle from point P

4. None of these

Q.

A point lies inside the circle. So __ tangents can be drawn from the point to the circle. (Fill in the blanks with 0, 1, 2 or 3)