Question

Draw a circle of radius 3cm. Take a point 'P' at a distance of 5 cm from the centre of the circle. From
P. draw 2 tangents to the circle.​

Answer 1

Answer:

1.Take a point O as center and with radius 3 cm ,draw a circle.

2.Mark a point P outside the circle such that OP=5 cm.join O to P.

3.Draw a perpendicular bisector of OP that cuts OP at M.

4.With M as a center and radius MO (or MP),draw a circle cutting the first circle at A and B.

5.Join P to A and P to B

Then PA and PB are the required two tangents

The length of the tangent are PA=PB=4 cm.

Answer 2

Step-by-step explanation:

In order to construct the required tangents, we follow the following steps:

Steps I: Take a point O in the plane of the paper and draw a circle of radius 3 cm

Steps II: Mark a point P at a distance of 5.5 cm from the centre O and join OP.

Steps III: Draw the right bisector of OP, intersecting OP at Q.

Steps IV: Taking Q as centre and OQ=PQ as radius, draw a circle to intersect the given circle at T and T

Steps V: Join PT and PT to get the required tangents.