Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main2012MathematicsArea Under CurvesActual

The area bounded between the parabolas x^2= y 4 and x^2=9 y , and the straight line y=2 is

Options

  1. A20 2
  2. B10 2 3
  3. C20 2 3
  4. D10 2

Correct answer

C. 20 2 3

Step-by-step solution

Required area aligned & A=2 [ ₀^2 (3 y - y 2 ) d y ]=2 ₀^2 5 y 2 d y & =5 [ y^ 3 / 2 3 / 2 ]₀^2= 10 3 [2^ 3 / 2 -0 ]= 20 2 3 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 JEE Main PYQs