List of top Mathematics Questions on Area under Simple Curves asked in KEAM

The area of the region bounded by \(\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1\) and the line segment joining (0,5) and (4,0) in the first quadrant is

The area enclosed between the curve $y = 11x - 24 - x^2$ and the line $y = x$ is

The area enclosed within the curve \( |x| + |y| = 1 \) is

The area of the region bounded by the curves \( y = |x - 2| \), \( x = 1 \), \( x = 3 \) and \( y = 0 \) is:

The area of the triangular region whose sides are \( y = 2x + 1 \), \( y = 3x + 1 \) and \( x = 4 \) is:

The area bounded by the curves \( y = -x^2 + 3 \) and \( y = 0 \) is:

The area of the region bounded by $y^2 = 16 - x^2, y = 0, x = 0$ in the first quadrant is (in square units):