Let \( \mathrm{A}=\left\{\mathrm{X}=[\mathrm{x}, \mathrm{y}, \mathrm{z}]^{\mathrm{T}}: \mathrm{PX}=0\right. \) and \( \l…

Let \( \mathrm{A}=\left\{\mathrm{X}=[\mathrm{x}, \mathrm{y}, \mathrm{z}]^{\mathrm{T}}: \mathrm{PX}=0\right. \) and \( \left.\mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{z}^{2}=1\right\} \), where \( P=\left[\begin{array}{ccc}1 & 2 & 1 \\ -2 & 3 & -4 \\ 1 & 9 & -1\end{array}\right] \), then the set A:

[JEE Main 2020, 2 Sep (Shift 2)]