Question:
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on the outer circle, construct the pair of tangents to the inner circle
Solution:
Steps of Construction
Step 1. Mark a point O on paper.
Step 2. Taking O as a centre, draw two concentric circles of radius 3 cm and 5 cm. Mark any random point P on outer circle.
Step 3. Join OP and draw its perpendicular bisector which meets OP at M.
Step 4. Draw a circle with M as centre and radius PM (or OM), to intersect the inner circle at the points A and B.
Step 5. Join PA and PB.
Here, PA and PB are the required tangents.