Answer
C(0,4)
Work Step by Step
Points A and B have symmetry with respect to point C.
To find the coordinates of C given the points:
A(0,2) and B(0,6)
C is the mid point of A and B
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
C = ($\frac{0+0}{2}$, $\frac{2+6}{2}$)
C(0,4)