Question

Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents form 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.