Let A,Bbe the feet of the perpendiculars drawn from C1,1 to the pair of lines 7x2−20xy+12y2=0. If  P is the midpoint of OC then PA+PB=

Given  be the foot of the perpendiculars draw from the point C1,1 to the pair of lines 7x2−20xy+12y2=0The points A,B lies on the circle whose diameter end points are O,CHence, OP=PC=radiusTherefore, PA=PB=OC2=22It implies that PA+PB=2