CUET Mathematics 2023 30 May Shift 3 PYQs

The function $f(x) = x^3 + 3x^2 + 4x + 4$, $x \in \mathbb{R}$ (set of real numbers) :

If x is real, then minimum value of $x^2 - 8x + 17$ is :

Based on above information answer the following question :

If area of the flower bed is maximum, then area (in $m^2$) of the garden, which is outside the flower bed is :