Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2013MathematicsArea Under CurvesActual

What is the area of the region enclosed by y=2|x| and y=4 ?

Options

  1. A2 square unit
  2. B4 square unit
  3. C8 square unit
  4. D16 square unit

Correct answer

C. 8 square unit

Step-by-step solution

Area =2 4=8 sq. unit

Practice Area Under Curves on Quantrex Academy →

More from Area Under Curves

Passage: Let k be the area between the curve y= x and x-axis in the interval [0, 4 ] . Question: What is the area between the curve y= x and the x-axis in the interval [ 4 , 2 ] ? 2026Passage: Consider the curves y=x^2 and y=2|x| . Question: What is the area bounded by the curves, the lines x=0 and x=1 ? 2026Passage: Let k be the area between the curve y= x and x-axis in the interval [0, 4 ] . Question: What is the area between the curve y= x and the x-axis in the interval [ 4 , 2 ] ? 2026Consider the following for the two (02) items that follow: Let the curve f(x) = |x - 3| . What is the area bounded by the curve f(x) and y = 3 ? 2025Consider the following for the two (02) items that follow: Let the function f(x) = x^2 - 1 . What is the area bounded by the function f(x) and the x -axis? 2025For the following three (03) items: Consider the function f(x) = x|x| . What is the area bounded by the curve f(x) , the x -axis and the lines x = -2 and x = 1 ? 2025Consider the following for the two (02) items that follow: The slope of the tangent to the curve y = f(x) at (x, f(x)) is 4 for every real number x and the curve passes through the 2025What is the area of the region bounded by |x| 2k and |y| k , where k is a positive real number? 2025 Full Area Under Curves list All NDA PYQs