MCQ
Let $\left| {\begin{array}{*{20}{c}}
{{{\left( {a - x} \right)}^2}}&{{{\left( {a - y} \right)}^2}}&{{{\left( {a - z} \right)}^2}} \\
{{{\left( {b - x} \right)}^2}}&{{{\left( {b - y} \right)}^2}}&{{{\left( {b - z} \right)}^2}} \\
{{{\left( {c - x} \right)}^2}}&{{{\left( {c - y} \right)}^2}}&{{{\left( {c - z} \right)}^2}}
\end{array}} \right| = \frac{{ - 351}}{8}$ . If $x, y , z$ are the roots of the equation $8t^3 - 62t^2 + 43t -7 = 0$ and satisfy the determinant above, and $a, b, c$ are distinct number then value of $|(a - b) (b - c) (c - a)|$ is
{{{\left( {a - x} \right)}^2}}&{{{\left( {a - y} \right)}^2}}&{{{\left( {a - z} \right)}^2}} \\
{{{\left( {b - x} \right)}^2}}&{{{\left( {b - y} \right)}^2}}&{{{\left( {b - z} \right)}^2}} \\
{{{\left( {c - x} \right)}^2}}&{{{\left( {c - y} \right)}^2}}&{{{\left( {c - z} \right)}^2}}
\end{array}} \right| = \frac{{ - 351}}{8}$ . If $x, y , z$ are the roots of the equation $8t^3 - 62t^2 + 43t -7 = 0$ and satisfy the determinant above, and $a, b, c$ are distinct number then value of $|(a - b) (b - c) (c - a)|$ is
- ✓$2$
- B$4$
- C$10$
- D$14$