Prove that equation. 2x2 - 8xy - 4yz - 4x - 2y + 6z + 35 = 0 represents cone & find its vertex.
1
\((4,\frac{5}{2}, - \frac{{17}}{2})\)
2
\((4,\frac{3}{2}, - \frac{{17}}{2})\)
3
\((4,\frac{1}{2}, - \frac{{17}}{2})\)
4
\((14,\frac{3}{2}, - \frac{{17}}{2})\)