JEE Main 2024 — Area Under Curves Questions with Solutions

The area (in square units) of the region enclosed by the ellipse x²+3 y²=18 in the first quadrant below the line y=x is

The sum of squares of all possible values of k , for which area of the region bounded by the parabolas 2 y 2 = k x and…

Let the area of the region enclosed by the curves y=3 x, 2 y=27-3 x and y=3 x-x √(x) be A. Then 10 A is equal to

The area (in sq. units) of the part of circle x 2 + y 2 = 169 which is below the line 5 x - y = 13 is π α 2 β - 65 2 +…

If the area of the region \(x, y): ax² ≤ y ≤ (1)/(x), 1 ≤ x ≤ 2,0 < a < 1 \ is ( e 2 )-(1)/(7) then the value of 7 a-3…

The area enclosed between the curves y=x|x| and y=x-|x| is :

The area of the region in the first quadrant inside the circle x²+y²=8 and outside the parabola y²=2 x is equal to :

The area of the region x , y : y 2 ≤ 4 x , x < 4 , x y x - 1 x - 2 x - 3 x - 4 > 0 , x ≠ 3 is

The area of the region enclosed by the parabola y = 4 x − x 2 and 3 y = x − 4 2 is equal to

One of the points of intersection of the curves y=1+3 x-2 x² and y=(1)/(x) is ((1)/(2), 2 ). Let the area of the region…