2010016103

Level: 
Project ID: 
2010016103
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
Find the equations of all the tangent planes to the sphere \((x - 2)^2 + (y + 1)^2 + (z + 4)^2 = 36\) passing through the point \([-2; 3; t_3]\). The passing point belongs to the sphere and its third coordinate \(t_3\) is greater than \(z\) coordinate of the sphere center.
\( 2x-2y-z+8=0\)
\( 2x-2y+z+16=0\)
\( 2x-2y-3z+4=0\)
\( 2x-2y-5z=0\)