2010016107

SubArea: 
Space geometry
Level: 
C
Project ID: 
2010016107
Source Problem: 
2010016108
Accepted: 
0
Clonable: 
1
Easy: 
0
Identify the true statement about the line p:x=t,y=t,z=−2t, t∈R and the sphere κ:(x−3)2+y2+(z−4)2=25.
Line p and sphere κ do intersect in two points.
We do not have enough information to determine whether line p intersects sphere κ.
Line p and sphere κ do intersect in exactly one point.
Line p and sphere κ do not intersect at all.