After a Rotation of Axes Is Used to Eliminate The x

True/False

After a rotation of axes is used to eliminate the $x y$ -term from an equation of the form $A x ^ { 2 } + B x y + C y ^ { 2 } + D x + B y + F = 0$ the coefficients of the $x ^ { 2 }$ -and $y ^ { 2 }$ -terms remain $A$ and $C$ , respectively.