Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2009MathematicsArea Under Curves

Area bounded between the curve x²=y and the line y=4 x is

Options

  1. A32 3 sq unit
  2. B1 3 sq unit
  3. C8 3 sq unit
  4. D16 3 sq unit

Correct answer

A. 32 3 sq unit

Step-by-step solution

Given curves are x²=y and y=4 x Intersection points are (0,0) and (4,16) aligned Required area &= ₀⁴ (4 x-x² ) d x &= [ 4 x² 2 - x³ 3 ]₀⁴ &= [32- 64 3 ] &= 32 3 sq unit aligned

Practice Area Under Curves on Quantrex Academy →

More from Area Under Curves

Find the area bounded by the curve y = |2 - x| , the x –axis, and the lines x = 0 and x = 5 2026The area enclosed by the curve y = -x^2 and the line x + y + 2 = 0 is 2026The area of the region bounded by the line y = x + 2 and the curve x = -y^2 is 2026The area of the region in the first quadrant enclosed by the x -axis, the line x = 3 ,y and the circle x^2 + y^2 = 4 is 2026The area of the region bounded by the curve y^2 = x^3 , the y -axis and the lines y = 1 and y = 8 is 2026The area enclosed by the curve x = 3 , y = 3 is 2026The area in square units of the region bounded by the curve y = 16 - x^2 and lines x = 0, x = 4 above the X-axis is 2026The area bounded by the curves y = |x| - 1 and y = -|x| + 1 is 2026 Full Area Under Curves list All MHT CET PYQs