Let \( \dfrac{\sin A}{\sin B} = \dfrac{\sin(A - C)}{\sin(C - B)} \) where \( A, B, C \) are angles of a triangle \( ABC \). If the lengths of the sides opposite these angles are \( a, b, c \) respectively, then:
\( c^{2}, a^{2}, b^{2} \) are in A.P.
\( b^{2}, c^{2}, a^{2} \) are in A.P.
\( a^{2}, b^{2}, c^{2} \) are in A.P.
\( b^{2} - a^{2} = a^{2} + c^{2} \)
