Question

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

Answer 1

Draw Pw, Px tangents to circle with centre ‘O’ at P. 

Draw Qy, Qz tangents to circle with centre ‘O” at Q.

Tantent, OP = OQ = 7 cm. 

Steps of Construction : 

1. Construct a circle with radius 3 cm with centre O’. Draw the diameter AB and on both sides mark P and Q such that OP = OQ = 7 cm. 

2. Bisect PO, Mark point M and draw circle of radius MO and centre M. It intersects given circle at w and x. If joined Pw and Px, required tangents are constructed. 

3. Similarly bisect OQ, mark point N. Draw a circle of radius NO or NQ with centre N, it meets given circle at y and z points. Join Qy and Qz. These are the required tangents.