JEE Main & Advanced
Mathematics
Circle and System of Circles
Question Bank
Equations of circle, Geometrical problems regarding circle
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 \[m+n\].