Question
The sum of the squares of two numbers is 250, and the
difference between the two numbers is 4. Find the absolute difference between the cubes of these two numbers.Solution
Let, the two numbers be 'a' and 'b', such that, a > b.
ATQ,
a2 + b2 = 250
a - b = 4
(a - b) 2 = a2 + b2 + 2 X a X b
Or, 42 = 250 + 2 X a X b
Or, 2 X a X b = 250 - 16 = 234
Or, a X b = 117
a3 - b3 = (a - b) X (a2 + b2 + ab)
Or, a3 - b3 = 4 X (250 + 117) = 4 X 367 = 1,468
Which film received the prestigious Palme d'Or award at the 2024 Cannes International Film Festival?
The term Political Party is mentioned in which of the following?
Which ministry signed a Memorandum of Understanding with the Central TB Division to combat Tuberculosis by 2025?
Which IIT has partnered with the International Energy Agency to promote clean energy initiatives?
Which cooperative bank had its licence cancelled by the Reserve Bank of India (RBI)?
“Dudhwa Tiger Reserve” is a part of National Park in which part of India?
Consider the following regarding trade and class organization in the post-Mauryan period.
1- Manamikin - Horse trader
2- Anju Vannam - Org...
Which country was responsible for launching the Tianlian II-05 satellite?
Which of the following methods can be used to control excess demand in the economy?
Who made the first attempt to calculate the national income of India?