The number of positive integral solutions of the equation | matrix x^3+1 & x^2y &…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

The number of positive integral solutions of the equation

\left|\begin{matrix}x^3+1 & x^2y & x^2z \\ xy^2 & y^3+1 & y^2z \\ xz^2 & yz^2 & z^3+1\end{matrix}\right|=11

is (1) 0 (2) 3 (3) 6 (4) 12