27 JEE Main 2023 Area Under Curves previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Area Under Curves chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Area Under Curves chapter hub.
Let A be the area bounded by the curve y = x x - 3 , the x -axis and the ordinates x = - 1 and x = 2 . Then 12   A…
Let the area of the region x , y : 2 x - 1 ≤ y ≤ x 2 - x , 0 ≤ x ≤ 1 be A . Then 6 A + 11 2 is…
Let the area enclosed by the lines x + y = 2 ,   y = 0 , x = 0 and the curve f ( x ) = min x 2 + 3 4 , 1 + [ x ] w…
If A is the area in the first quadrant enclosed by the curve C : 2 x 2 - y + 1 = 0 , the tangent to C at the point 1 ,…
Let α be the area of the larger region bounded by the curve y 2 = 8 x and the lines y = x and x = 2 , which lies i…
The area of the region enclosed by the curve f x = max { sin x , cos x } , - π ≤ x ≤ π and the x…
The area of the region x , y : x 2 ≤ y ≤ x 2 - 4 , y ≥ 1 is
Let A be the area of the region ( x , y ) : y ≥ x 2 ,   y ≥ ( 1 - x ) 2 ,   y ≤ 2 x ( 1 - x…
The area enclosed by the closed curve C given by the differential equation d y d x + x + a y - 2 = 0 , y 1 = 0 is 4 	…
Let Δ be the area of the region x , y ∈ ℝ 2 : x 2 + y 2 ≤ 21 , y 2 ≤ 4 x , x ≥ 1 . T…
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