Question

Draw a circle of radius 3 cm. Construct two tangents from an external point P of 5 cm away from the center of the circle.

Answer 1

Given :

A circle of radius 3 cm and a point P 5 cm away from its center.

Steps of construction :

(1) Draw a circle with center O and radius 3 cm.

(2) Take a point P at distance of 5 cm from the center of the circle.

(3) Join OP and draw its perpendicular bisector which intersects OP at M.

(4) With M as center and radius PM, draw another circle which intersects the given circle at T₁ and T₂.

(5) Join PT₁ and PT₂ are the tangents of given circle.