Question

Two tangents can be drawn on the circle from the exterior point given in the image. What will be the
value of the expression​

Answer 1

Answer:

Step-by-step explanation:

Draw a line segment, from Centre O to external point P { i.e. P is the intersecting point of both the tangents}  

Now ∆POR and ∆POQ.  

In order to prove they have the same length, we will first prove that both triangles are similar.  

We know that the tangents make a right angle with a radius of the circle.  

Here, OR and OQ is the radius of the circle

So, ∠OQP = ∠ORP = 90°

Now, it is clear that both the triangles ∆POQ and ∆POR are right-angled triangles and a common hypotenuse OP in them.