List of top Mathematics Questions on Area between Two Curves asked in MHT CET

The eccentricity of the curve represented by $ x = 3 (\cos t + \sin t) $, $ y = 4 (\cos t - \sin t) $ is:

The area of the region bounded by the curve $y^2 = 4x$ and the line $y = x$ is
The area bounded by the parabola $y = x^2$ and the line $y = x$ is
The area of the region bounded by the parabola $x^2 = y$ and the line $y = x$ is
The area of the region bounded by the curve $y^2 = 4x$ and the line $y = x$ is