MathDB

A circle with center

O

is drawn in the first quadrant of the 2D Cartesian plane (the quadrant with both positive

x

and

y

values) such that it lies tangent to the

x

and

y

-axes. A line is drawn with slope

m>1

and passing through the origin; the line intersects the circle at two points

A

and

B

, with

A

closer to the origin than

B

. Suppose that

ABO

is an equilateral triangle. Compute

m

Problem Statement