Q1)prove that the circles described on the four sides of a rhombus of as diameters pass through the point of intersection of its diagonals Q2)X and Y are the mid points of sides AC and AB of triangle ABC respectively,OP is parallel to BC and CYQ and BXP are straight lines.Prove that ar( triangle ABP)=ar(triangle ACQ). Q3)points A and B are on the same side of a line m,AD is perpendicular to m and BE is perpendicular to m and meet at D and E respectively. If C is the mod point of AB, prove that CD=DE.