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ATQ, a2c + ab2- ac2- ba2 + bc2- cb2 + abc (a - b)(b - c)(c - a) + abc Minimum value, (2 - 5)(5 - 8)(8 - 2) + 2 × 5 × 8 = (- 3)(- 3) × 6 + 80 = 54 + 80 = 134 Maximum value, (4 - 7)(7 - 10)(10 - 4) + 4 × 7 × 10 = (- 3)(- 3) × 6 + 280 = 54 + 280 = 334 Quantity II (ab + bc)(c2- b2- c2) Minimum value, (2 × 5 + 5 × 8) × (82 - 52 - 22) = (10 + 40) × (64 - 25 - 4) = 50 × 35 = 1750 Maximum value, (4 × 7 + 7 × 10) × (102 - 72 - 42) = (28 + 70) × (100 - 49 - 16) = 98 × 35 = 3430 Hence, Quantity I < Quantity II .
The population of a town increased to 13,520 in 2022 at a rate of 4% per annum. Find the population of that town in 2020.
A company has two employees, Employee A and Employee B. Employee A earns 180,000 annually, and Employee B earns 210,000 annually. If Employee A’s sala...
31.5 ÷ 1.75 × 6 – 12 = ? + 34
The average age of 4 children is 12 years. The difference between the ages of the eldest and the youngest child is 10 years. If the second and third chi...
The height of a right circular cone is 7 cm, and its volume is 733(1/3) cm³. Determine the diameter of the cone.
24.5% of 400 + 528 of 12.5 ÷ 11
A square prism has a base side of 10 cm and a height of 15 cm. If a cone with the same base and height is removed from the prism, what is the volume of ...
Evaluate the area under y = 2x + 1 between x = 0 and x = 3:
A boat can travel 225 km downstream in 5 hours. If the speed of the boat in still water is 7 times the speed of the stream, how m...
120 litres of mixture contains water and milk in the ratio 5:6 respectively. If 32 litres of the mixture is replaced by same quantity of water, then fin...