Question

Draw a circle with a radius of 0 cm 4 cm, draw a diameter PQ of it. Extend PQ on both sides and take two points A and B which are on PQ and in the circumference of the circle. Draw tangents to the circle from A and B.​

Answer 1

Explanation:

We follow the following steps:

step of construction

STEP I

Taking O as centre and radius equal to 4 cm draw a circle.

STEP II

Draw diameter of POQ.

STEP III

Construct ∠PQT=90

o

STEP IV

Produce TQ to T

′

to obtain the required tangent TQT

′

.

TypeII CONSTRUCTION OF A TANGENT TO A CIRCLE AT A GIVEN POINT WHEN ITS CENTRE IS NOT KNOWN

Step of construction

STEP I

Draw any chord PQ through the given point P on the circle.

STEP II

Join P and Q to a point R either in the major are or in the minor arc.

STEP III

Construct ∠QPY equal to ∠PRQ and on the opposite side of the chord PQ.

STEP IV

Produce YP to X to get YPX as the required tangent.