The correct option is C (3,2,1)
The family of planes passing through the intersection of given two planes is x+y+z−1+λ(2x+3y−z+4)=0
⇒(1+2λ)x+(1+3λ)y+(1−λ)z+4λ−1=0
As the plane is parallel to y-axis,
3λ+1=0⇒λ=−13
So, the equation of the plane is
(1−23)x+(1+13)z−73=0
⇒13x+43z−73=0⇒x+4z−7=0
∴ The equation of plane is ⇒x+4z−7=0
Hence the plane passes through point (3,2,1)