A line meets the co-ordinate axes an and . A circle is circumscribed about the .
If and are the distances of the tangents to the circle at the origin from points and respectively, then the diameter of the circle is
Step 1: Draw the figure with the given data:
Let the coordinates of be and the coordinates of be
Step 2: Calculating the radius of circle
is the diameter of the circle.
The center of the circle has the coordinates
The radius of the circle
Step 3: Finding the diameter
The equation of the circle is
The tangent of the circle is
Now,
The diameter of the circle is
Hence, the correct option is (B).