CUET Mathematics 2026 21st May Shift 2 PYQs

If $f(x+y) = f(x) + f(y)$ for all $x, y \in R$ (set of real numbers) and $f(x)$ is continuous at $x = 0$, then identify the correct statement ?

If $y=(\sqrt x)^\pi$ such that $\frac{dy}{dx}=\frac{\pi}{a}y^{\pi+b}$ where $a,b\in\mathbb R$ then:

If $x=2at^5$ and $y=at^{10}$, then $\dfrac{dy}{dx}=$