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

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Steps of construction.

i. Draw a line segment 4 cm.

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

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