Question: Apply the rotation formulas (5) to Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 to obtaine the equation

Apply the rotation formulas (5) to  Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 to obtaine the equation  A’x’2 + B’x’y’ + C’y’2 + D’x’ + E’y’ + F’ = 0.

Show that A + c = A' + C', and thus show that  A + C is invariant; that is, its value does not change under a rotation of axes.

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