question_answer

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)            \[m(m+n)\]                              

B)            \[m+n\]

C)            \[n(m+n)\]                               

D)            \[\frac{1}{2}(m+n)\]

Correct Answer: B

Solution :

           It is clear from the figure that diameter is \[m+n\].