CUET Mathematics 2026 18th May Shift 2 PYQs

If $f(x) = \begin{cases}\lambda x+5, & if\ x\le 2\\x+3, & if\ x>2\end{cases}$ is continuous at $x=2$, then, the value of $\lambda$ is

If $x = t^3$, $y = t^2$ then $\frac{d^2y}{dx^2}$ is equal to:

If $xy = e^{(x-y)}$, then $\frac{dy}{dx}$ is equal to: