Let $P_1: 2x + y - z = 3 \mathrm{a}\mathrm{n}\mathrm{d} P_2: x + 2y + z = 2$ be two planes. Then, which of the following statement(s) is (are) TRUE?

• A

  The line of intersection of $P_1 , P_2$ has direction ratios $1, 2,-1$
• B

  The line $\frac{3x-4}{9}=\frac{1-3y}{9}=\frac{z}{3}$ is perpendicular to the line of intersection of $P_1 ,P_2$
• Correct answer
  C

  The acute angle between $P_1 , P_2$ is ${60}^o$
• Correct answer
  D

  If $P_3$ is the plane passing through the point $\left(4, 2,-2\right)$ and perpendicular to the line of intersection of $P_1 , P_2$ , then the distance of the point $\left(\mathrm{2,1},1\right)$ from the plane $P_3 \mathrm{i}\mathrm{s}\frac{2}{\sqrt{3}}$

Hence, the correct answer is options: 'C', 'D'.