The correct option is A (4,9,−3)
Equation of sphere is
x2+y2+z2−6x−12y−2z+20=0
whose coordinate of center are (3,6,1).
Let the coordinate of the other end of diameter are (α,β,γ), then
α+22=3,β+32=6,γ+52=1
Hence, α=4,β=9,γ=−3
Thus, the coordinate of other point are (4,9,−3).