If the p and q are roots of the equation $x^2-7x+A=0\;\xi\;r\;\xi\;s$ are roots of equation $x^2-19x+B=0,$ find the values of $A\;\xi\;B$ if p,q,r,s are in AP.

Question

$(a)\;A=rs,B=pq\qquad(b)\;A=B=0\qquad(c)\;A=7,B=19\qquad(d)\;A=10,B=88$