Question
Find the area of the region enclosed by the curves : y =
0, x = |y| and y = |x - 2|.Solution
We know that y = 0 is 'x-axis'. Now, for x = |y|, 'y' will be positive for any value of 'x'. So, essentially its only x = y but without any negative values of 'y'. So, we will get a 'V' shape graph along the 'y' axis. Similarly, y = |x - 2|, will be 'V' shaped along the 'x-axis' and since, we are subtracting -2, the origin of the line will move from (0,0) to (2,0). So, required area = Area of triangle So, Area of triangle = (1/2) X 2 X 1 = 1 square units
Which of the following countries accorded equivalence to central counterparties authorised by the Reserve Bank of India (RBI), in June 2023?
The world's oldest pearl town, dating back to the 6th century, was recently discovered revealing artifacts suggesting it was once home to thousands of p...
PACER scheme comprising the Antarctic program, Indian Arctic program, Southern Ocean program and Cryosphere and Climate program is implemented successfu...
Prabha Atre is a renowned person in which field?
What is the market capitalization of Reliance Industries Ltd in April 2022?
Who among the following has won his 22nd World Billiards Title 2019?
Which of the following is the highest peak?
The credit deposit ratio of Scheduled commercial bank is lower in which region at 44.7%?
What is the minimum pension provided under the NPS Vatsalya scheme?
‘Sengol’ installed in the new Parliament building of India, was seen as a symbol of the path of service, duty and nation in which Empire of the past...
