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.

Answer 1

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 center and PD as radius, draw arcs to intersect the circle at T and T’.
Step 8: Join PT and PT’S.

Here, PT and PT’ are the required pair of tangents.