Question

A line meets the coordinate axes in A and B. If a circle is circumscribed about the $\Delta$ AOB . If m, n are the distances of the tangent to the circle at the origin from the points A and B respectively,The diameter of the circle is

• A. m(m+n)
• B. m+n
• C. n(m+n)
• D. 2(m+n)

Answer 1

The correct option is B

m+n

O P = m; OQ = n
Clearly OP + OQ = AB = m + n
$\therefore diameter=m+n$