If `a+b+c=2,a^(2)+b^(2)+c^(2)=1` and abc = 3 then `1/a+1/b+1/c` is equal to

If a : b = 1 1/2 : 2 1/4 and b : c = 2 : 3 1/2 then what is a:b:c equal to ?

If a+b+c=3, a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zero then abc is:

If |[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0 and the vectors given by A(1, a, a^(2)), B(1, b, b^(2)), C(1, c, c^(2)) are non-collinear, then abc=