Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle. HINT See Example 6.

In this question, we need to find center of circle first.

We know that the perpendicular to the chord passes through the center.

So, to find the center, we construct two non-parallel chords and then, find the point of intersection of their perpendicular bisectors.

Steps of Construction:

1. Draw a circle with the help of a bangle.

2. Draw two non-parallel chords CD and EF.

3. Draw perpendicular bisector of CD.

4. Draw perpendicular bisector of EF.

5. Mark the point where the bisectors intersect as O. This is the center of the circle.

Now, we need to draw tangents to the circle.

Steps:

1. Draw point P outside the circle.

2. Join PO.

3. Make perpendicular bisector of OP. Let M be the mid-point of OP.

4. Taking M as center and MO as radius, draw a circle.

5. Let it intersect the given circle at Q and R.

6. Join PQ and PR.

Therefore, PQ and PR are the required two tangents.