Question:
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.
Solution:
Steps of Construction
Step 1. Draw a circle with the help of a bangle.
Step 2. Mark a point P outside the circle.
Step 3. Through P, draw a secant PAB to intersect the circle at A and B.
Step 4. Produce AP to C such that PA = PC.
Step 5. Draw a semicircle with CB as diameter.
Step 6. Draw PD ⊥ BC, intersecting the semicircle at D.
Step 7. With P as centre and PD as radius, draw arcs to intersect the circle at T and T'.
Step 8. Join PT and PT'.
Here, PT and PT' are the required pair of tangents.