Assertion (A) and Reason (R)
(A) Both A and $\mathrm{R}$ are true and $\mathrm{R}$ is the correct explanation of $\mathrm{A}$.
(B) Both $\mathrm{A}$ and $\mathrm{R}$ are true but $\mathrm{R}$ is not the correct explanation of $\mathbf{A}$.
(C) $\mathrm{A}$ is true, $\mathrm{R}$ is false.
(D) $\mathrm{A}$ is false, $\mathrm{R}$ is true.
Assertion (A) : The maximum value of $\left(\sqrt{-3+4 x-x^{2}}+4\right)^{2}+(x-5)^{2}($ where $1 \leq x \leq 3)$ is 36
Reason (R) : The maximum distance between the point $(5,-4)$ and the point on the circle $(\mathrm{x}-2)^{2}+\mathrm{y}^{2}=1$ is 6 .