Level:
Project ID:
2010016107
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Identify the true statement about the line \(p: x = t, y = t, z = -2t\), \(t \in \mathbb{R}\) and the sphere \(\kappa : (x - 3)^2 + y^2 + (z - 4)^2 = 25\).
Line \(p\) and sphere \(\kappa\) do intersect in two points.
We do not have enough information to determine whether line \(p\) intersects sphere \(\kappa\).
Line \(p\) and sphere \(\kappa\) do intersect in exactly one point.
Line \(p\) and sphere \(\kappa\) do not intersect at all.