Level:
Project ID:
2010016110
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Identify the true statement about the plane \(\sigma : 2x + y - 2z + 13 = 0\) and the sphere \(\kappa : x^2 + y^2 + z^2 - 2x -2y - 4z + 2 = 0\).
Plane \(\sigma\) and sphere \(\kappa\) have no intersection at all.
Plane \(\sigma\) intersects sphere \(\kappa\) but does not pass through sphere’s center.
Plane \(\sigma\) is the tangent plane to sphere \(\kappa\).
Plane \(\sigma\) intersects sphere \(\kappa\) and passes through sphere’s center.