CUET Mathematics 2023 15 June Shift 2 PYQs

Evaluate $\int_0^{\frac{1}{3}} y \, dx$

The area of the smaller region bounded by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ and the straight line $3x + 4y = 12$ is:

The area (in square units) of minor segment of the circle $x^2 + y^2 = 25$ cut off by the line $x = \frac{5}{2}$ is