ABCD is a rhombus. AB is produced to F and B produced to E such that AB = AE = BF. Then,

• ED² + CF² = EF²

• ED || CF

• ED > CF

• 

ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If ∠ADC = 60°, then the ∠PBC + ∠PCB is

• 130°

• 150°

• 155°

• 180°

33.

ABCD is a cyclic trapezium with AB || DC and AB a diameter of the circle. If ∠CAB = 30°, then ∠ADC is

• 60°

• 120°

• 150°

• 30°

One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is

• 8√3 cm

• 8 cm

• 4√3 cm

• 8 /√3 cm