Let
A(1,2,3),B(2,3,3),C(1,3,4)
and
D(2,4,4)
be points in
R^(3)
. Find the correct statement. (a) The quadrilateral
ABDC
is a parallelogram. (b) The points
A,B,C
and
D
are not coplanar. (c) The quadrilateral
ABCD
is a rectangle. (d) The points
A,B,C
and
D
are collinear. Consider the circle
C_(1):x^(2)+y^(2)+z^(2)-100=x+2z-1=0
and the circle
C_(2):x^(2)+y^(2)+z^(2)-100=x+2z-2=0
. Find the correct statement. (a)
C_(1)
and
C_(2)
have the same centers and the same radi. (b)
C_(1)
and
C_(2)
have the same centers different radi. (c)
C_(1)
and
C_(2)
have different centers and the same radi. (d)
(/)/(1)
(/)/()
diffocent radi.