Draw a circle of diameter 6 cm Take a point P outside the circle at a distance of 6 - Maths - Constructions

Question

Draw a circle of diameter 6 cm Take a point P outside the circle at
a distance of 6 cm from its centre Take another point Q outside the
circle at a distance of 8 cm from its centre, construct tangents
from P and Q to the given circle

Alisha Kumar · Accepted Answer

Dear Student,

A pair of tangents to the given circle can be constructed as
follows:-
1) Take any point O of the given plane as centre, draw a circle of
6 cm radius Locate a point P, 10 cm away from O Join OP
2) Bisect OP Let m be mid- point of PO
3) Taking M as centre and MO as radius, draw a circle
4) Let it intersect the given circle and MO as radius, draw a
circle
5) Join PQ and PR
Then PQ and PR are the required two tangents
The lengths of tangents of PQ and PR are 8 cm each

Regards

Draw a circle of diameter 6 cm. Take a point P outside the circle at a distance of 6 cm from its centre. Take another point Q outside the circle at a distance of 8 cm from its centre, construct tangents from P and Q to the given circle.