If  then the value of a³ + b³ will be

• 1

• 0

• -1

• 2

If p = 99,  then the value of p(p² + 3p + 3) will be

• 999999

• 1000000

• 1000001

• 999998

If a - b = 1  and a³ - b³ = 61, the the value of ab will be

• -20

• 20

• 30

• 60

If  then x is equal to

• 2a - b

• a + b

• a - b

• 2a + b

The point where three medians of a triangle meet is called

• Centroid

• Incentre

• Circumcentre

• Orthocentre

66.

Δ ABC a right-angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cm, BC = 4 cm. The value of BD is:

• 3 cm

• 4 cm

• 2.5 cm

• 5.5 cm

Δ ABC a right-angled triangle and D, E are midpoints of AB and BC respectively. Then the ratio of the area of Δ ABC and the area of trapezium ADEC is:

• 5 : 3

• 4 : 1

• 8 : 5

• 4 : 3

In an isosceles triangle ABC, AB = AC, XY || BC. If ∠A = 30°, then ∠BXY = ?

• 75°

• 30°

• 150°

• 105°

The value of  is

• 1

• 0

• -1

• 2

If  then the value of x² + y² + z² is

• 2a²

• 4a²

• 9a²

• a²