The minimum value of (x - 2) (x - 9) is

• 

• 

• 0

• 

If x + y + z = 6  and x² + y² + z² = 20,  then the value of x³ + y³ + z³ - 3xyz is

• 64

• 70

• 72

• 76

The third proportional to
        is

• xy

• 

• 

• 

In a ΔABC, the side BC is extended upto D. Such that CD = AC, if ∠BAD = 109° and ∠ACb = 72°, then the value of ∠BAC is

• 35°

• 60°

• 40°

• 45°

Two circles touch each other internally, Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is of length

• 2√2 cm

• 3√2 cm

• 2√3 cm

• 4√2 cm

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°

From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is

• 65 cm²

• 60 cm²

• 30 cm²

• 90 cm²

108.

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°

ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50° then ∠A is

• 100°

• 90°

• 120°

• 60°

AB is the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intersecting AB produced at C such that BC = OD. If ∠BCD = 20°, then &angAOD is equal to

• 20°

• 30°

• 40°

• 60°