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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.