If $(x, y)$ satisfies the simultaneous equations \begin{align*} 3xy - 4x^2 - 36y + 48x & = 0, \\ x^2 - 2y^2 & = 16, \end{align*}where $x$ and $y$ may be complex numbers, determine all possible values of $y^2$.

Which is a logical conclusion based on the given information? a. figure abcd is a rhombus by the definition of a rhombus. b. segment ac is congruent to segment dc by cpctc. c. angle acb is congruent to angle adc by the angle-side-angle theorem. d. triangle acd is congruent to triangle cab by the hypotenuse-leg theorem.