Solve the Problem $x ^ { 2 } - 4 y ^ { 2 } = 36$

Multiple Choice

Solve the problem.
-Atomic particles with like charges tend to repel one another. Suppose that two beams of like-charged particles are hurled towards each other from two parallel atomic accelerators. The path
Defined by the particles is $x ^ { 2 } - 4 y ^ { 2 } = 36$ , where x and y are measured in microns. What is the
Minimum distance between the particles?

A) 4 microns
B) 12 microns
C) 36 microns
D) 6 microns