Let the image of the point (1,0,7) in the line x/1=(y-1)/2=(z-2)/3 be the point (α, β, γ). Then which one of the following points lies on the line…

Let the image of the point $\displaystyle (1,0,7)$ in the line $\displaystyle \frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ be the point $\displaystyle (\alpha, \beta, \gamma)$. Then which one of the following points lies on the line passing through $\displaystyle (\alpha, \beta, \gamma)$ and making angles $\displaystyle \frac{2 \pi}{3}$ and $\displaystyle \frac{3 \pi}{4}$ with $\displaystyle y$-axis and $\displaystyle z$-axis respectively and an acute angle with $\displaystyle x$-axis ?