Question

A line n is tangent to the circle with radius 6 cm. What is the distance between the centre of the circle and the line n.​

Answer 1

Step-by-step explanation:

Draw a circle of radius 6cm with center O. Draw a line segment of 10cm away from point/center O

Mark midpoint of OP and draw a circle of radius OQ=5cm

This circle cuts the initial circle at two points M and N. Join MP and NP are the required tangents.

We know, PM=PN (tangent to a circle from external point)

In △ONP,

(ON)2+(PN)2=(OP)2(PN)2=(OP)2−(ON)2=(10)2−62=64PN=8cm