Construction of a Tangent to a Circle at a Point on the Circle Using the Center

Q. If from a point P only one tangent can be drawn to a circle, then P is the circle.

1. outside
2. inside
3. on

Q.

Draw a line segment AB of length $8cm$. Taking A as centre, draw a circle of radius$4cm$ and taking B as centre, draw another circle of radius $3cm$ . Construct tangents to each circle from the centre of the other circle.

Q.

A point lies inside the circle. So it can have __ tangents. (Fill in the blanks with 0, 1, 2 or 3)

Q.

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

1. Q

2. R

3. Not possible through both Q and R

4. Both Q and R

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.

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.

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.

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

1. Perpendicular to the tangent passes through the centre

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

3. Only 1 tangent can be drawn from point P

4. None of these