its a JEE 2008 quesn !!!
oofff............JEE 2008 was really very hard man!!!:(
(PS) (ST) = (QS) (SR)
now use AM > GM
1/2 ( 1/PS + 1/ST ) > 1/ √(PS) (ST)
1/PS + 1/ST > 2/√(QS) (SR)
now if x+ y = k (a constant ) , then xy is max. when x = y = k/2
thus (QS ) (SR) < 1/4 (QR)2
1/(QS ) (SR) > 4/(QR)2
thus , 1/PS + 1/PT > 2√ 4/(QR)2 = 4/QR
so B and D r correct..