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 state won the girls’ title at the 40th National Youth Basketball Championships?
Under the newly approved PM Vidyalaxmi scheme, what type of loans are provided to students in Quality Higher Education Institutions (QHEIs)?
Which of the following frameworks offers greater flexibility for passively managed mutual fund schemes?
Which state won the IDCA Under-19 T20 cricket championship in 2024?
India signed a USD 375 million deal with which nation for the supply of BrahMos missiles?
Which company became the first to achieve a $4 trillion market valuation in July 2025?Â
What is the name of the mascot unveiled for the Asia Rugby Under-20 Championship in Bihar?
Which company has signed a Memorandum of Understanding (MoU) with Rail Vikas Nigam Limited (RVNL) to extend financial support of up to Rs. 35,000 crore ...
Who has been recently appointed as the new President of Cyprus?
What event led Olivier Giroud to announce his retirement from international football?
