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## Homework Statement

A line meets the coordinates axes in A and B. A circle is circumscribed about the triangle OAB. If m and n are the distances of the tangent to the circle at the origin from the point A and B respectively, the diameter of the circle is:

(a) m(m + n)

(b) m + n

(c) n(m + n)

(d) (1/2)(m + n)

## Homework Equations

nothing so special. I've included some equations with the attempt I've submitted here.

## The Attempt at a Solution

let coordinates of A and B are (a, 0) and (0, b) respectively. Since 0A and AB are perpendicular to each other therefore the center of the circle lies at the midpoint of AB and AB is the diameter.

so the length of diameter is [tex]\sqrt{}a^2 + b^2[/tex]