Draw a circle of radius 4 cm. Take a point P outside the circle. Without using the centre of the circle, draw two tangents to the circle from point P.

Asked by Topperlearning User | 10th Oct, 2017, 09:03: AM

Expert Answer:



Steps of construction. 

i. Draw a line segment 4 cm.

ii. Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.

iii. Produce AP to C such that AP = CP.

iv. Draw a semi-circle with CB as diameter.

v. Draw PD perpendicular to CB, intersecting the semi-circle at D.

vi. With P as centre and PD as radius draw arcs to intersect the given circle at T and M.

vii. Join PT and PM.

viii. Then PT and PM are the required tangents.

Answered by  | 10th Oct, 2017, 11:03: AM