Question

Construct two tangents to circle O, at A and at B, where AB is a diameter. What relationship exists between the two tangents?

Answer 1

Answer:

This two relationship exists :

A )  The two tangents from the point on circle to the exterior points are equal  in length

B ) The angle between a tangents and radius is right angles

Step-by-step explanation:

Given as ;

The circle with center O

The points A and B is on the circle

So, AB is the diameter of circle

Now, If we draw two tangents from point A and Points B , and  when we stretch both tangents to exterior point P , then at points P both will meet .

So, Two tangents AP  and  BP is constructed .

From here if we measure the length of both tangents AP and BP , then the measure of both the lengths of tangents are equal .

So , we can say that AP = BP

Again ,

We can see that radius from the center O to the tangents makes right angle

I.e The on both tangents the radius is making equal angle i.e right angle

Hence , From This two relationship exists :

A )  The two tangents from the point on circle to the exterior points are equal  in length

B ) The angle between a tangents and radius is right angles  

Answer