Mathematics
In the figure (ii) given below, chords BA and DC of a circle meet at P. Prove that
(i) ∠PAD = ∠PCB
(ii) PA × PB = PC × PD.

Related Questions
In the figure (ii) given below, the diagonals of a cyclic quadrilateral ABCD intersect in P and the area of the triangle APB is 24 cm2. If AB = 8 cm and CD = 5 cm, calculate the area of △DPC.
In the figure (i) given below, QPX is the bisector of ∠YXZ of the triangle XYZ. Prove that XY : XQ = XP : XZ.
If O is the center of the circle find the value of x in the following figure (using the given information) :
If O is the center of the circle find the value of x in the following figure (using the given information) :