Circle And System Of Circles Question 323

Question: A line meets the coordinate axes in A and B. A circle is circumscribed about the triangle OAB. If m and n are the distance of the tangents to the circle at the points A and B respectively from the origin, the diameter of the circle is

Options:

A) $ m(m+n) $

B) $ m+n $

C) $ n(m+n) $

D) $ \frac{1}{2}(m+n) $

Show Answer

Answer:

Correct Answer: B

Solution:

It is clear from the figure that diameter is $ m+n $ .