Question:
Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre.
Solution:
Steps of Construction
Step 1. Draw a circle with O as centre and radius 3.5 cm.
Step 2. Mark a point P outside the circle such that OP = 6.2 cm.
Step 3. Join OP. Draw the perpendicular bisector XY of OP, cutting OP at Q.
Step 4. Draw a circle with Q as centre and radius PQ (or OQ), to intersect the given circle at the points T and T'.
Step 5. Join PT and PT'.
Here, PT and PT' are the required tangents.