Question

Draw a circle of radius 3 cm with centre O and take a point P outside the circle such that OP = 6.5 cm. From P, draw two tangents to the circle.

Answer 1

Steps of Construction:

1. Draw a circle with O as the centre and radius 3 cm.
2. Mark a point P outside the circle such that OP = 6.5 cm.
3. Join OP and draw perpendicular bisector of PO meeting PO at M.
4. Draw a circle with M as the centre and radius equal to PM = MO intersecting the given circle at points Q and R.
5. Join PQ and PR. Then PQ and PR are the required tangents.