`|((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(a^2+c^2)/b)|` equal to : (A) `4abc` (B) `a^2+b^2+c^2` (C) `(a+b+c)^2` (D) None of These

Explanation

To solve the determinant

\[
D = \begin{vmatrix}
\frac{a^2 + b^2}{c} & c & c \\
a & \frac{b^2 + c^2}{a} & a \\
b & b & \frac{a^2 + c^2}{b}
\end{vmatrix}
...