Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainMathematicsArea 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

Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of points of intersection 2026Passage: Consider the ellipses given by x^2 + 4y^2 = 1 and 4x^2 + y^2 = 1 . Question: If is the area of the common region that lies inside both the given ellipses, then the value o 2026The area of the region (x, y) : x^2 - 8x y -x is : 2026The area of the region (x, y) : 0 y 6 - x, y^2 4x - 3, x 0 is: 2026The area of the region R = (x, y): xy 27, 1 y x^2 is equal to: 2026The area of the region bounded by the curves x+3y^2=0 and x+4y^2=1 is equal to: 2026The area of the region (x, y): y - |x|, y |x x|, y 0 is: 2026If the area of the region bounded by 16x^2 - 9y^2 = 144 and 8x - 3y = 24 is A, then 3(A + 6 _e(3)) is equal to _______. 2026 Full Area Under Curves list All 99 Percentile Qs Bank for JEE Main PYQs