The graph of the equation y^2 + z^2 = 0 in th | vedclass

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(A) The given equation is $y^2 + z^2 = 0$. Since $y^2 \ge 0$ and $z^2 \ge 0$ for all real numbers $y$ and $z$,the sum $y^2 + z^2$ can be zero if and o

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$x$-axis

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(A) The given equation is $y^2 + z^2 = 0$. Since $y^2 \ge 0$ and $z^2 \ge 0$ for all real numbers $y$ and $z$,the sum $y^2 + z^2$ can be zero if and only if both $y = 0$ and $z = 0$ simultaneously. In three-dimensional space,the set of points $(x, y, z)$ satisfying $y = 0$ and $z = 0$ corresponds to all points where the $y$-coordinate and $z$-coordinate are zero,regardless of the value of $x$. This set of points forms the $x$-axis. Therefore,the correct option is $A$.

The graph of the equation $y^2 + z^2 = 0$ in three-dimensional space is

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