Question

The length of tangent from an external point P on a circle with centre O is​

Answer 1

Answer:

always less than op

Step-by-step explanation:

as in a right angles triangle hypotenuse is always greater than any of the two sides of the triangle. hence, the length of tangent from an external point on p on a circle with center o is always less than op

Answer 2

Step-by-step explanation:

Given:External point is p and Circle with center O.

Let the point of contact be A and radius is r.

Tangent is AP. and it's length be h.

We know that, radius draw at the pointbof contact of a tangent is perpendicular to that tangent.

So, angle OAP=90°.

By joing OP it becomes hypothenuse and

we get right triangle AOP.

By Pythagorean triplet:

hyp²=h²+r²

h²=hyp²-r²

h=√hpy²-r².