A parallel tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.

Question

Write True or False and give reasons for your answer.

A parallel tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the center.

Answer 1

False

Let, r = radius of circle and

d = distance of a point from the center.

r = 3.5

And d = 3

r > d

Point P lies in inside the circle, as shown below:

i.e., no tangent is possible.