The determinant $\begin{vmatrix}xp+y&x&y\\yp+z&y&z\\0 &xp+y&yp+z\end{vmatrix}=0$ if

Question

(A) x,y,z are in A.P

(B) x,y,z are in G.P

(C) x,y,z are in H.P

(D) xy,yz,zx are in A.P