Question

Write the steps of construction to construct the tangents to a circle from an external point.

Answer 1

Steps of construction:
1) Take point O and draw a circle of radius 4 cm.
2) Take any point P out side the circle.
3) Through the external point P draw a straight line PBA meet the given circle at A and B.
4) With AP as diameter , draw a semicircle.
5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With P as centre and radius PC draw an arc cutting the given circle at Q .Join PQ Then PQ is the required tangent.