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Question: A line meets the coordinate axes in A and B. A circle is circumscribed about the triangle OAB. If m ...

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.

A

m(m+n)m ( m + n )

B

m+nm + n

C

n(m+n)n ( m + n )

D

12(m+n)\frac { 1 } { 2 } ( m + n )

Answer

m+nm + n

Explanation

Solution

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