Q71. Let $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + 41$ be such that $f ( 1 ) = 40 , f ^ { \prime } ( 1 ) = 2$ and $f ^ { \prime } ( 1 ) = 4$. Then $\mathrm { a } ^ { 2 } + \mathrm { b } ^ { 2 } + \mathrm { c } ^ { 2 }$ is equal to:\\
(1) 73\\
(2) 62\\
(3) 51\\
(4) 54