Let $P_1: 2 x+y-z=3$ and $P_2: x+2 y+z=2$ be two planes. Then, which of the following statement(s) is (are) TRUE ?
Select ALL correct options:
A
The line of intersection of $P_1$ and $P_2$ has direction ratios $1,2,-1$
B
The line $\frac{3 x-4}{9}=\frac{1-3 y}{9}=\frac{z}{3}$ is perpendicular to the line of intersection of $P_1$ and $P_2$
C
The acute angle between $P_1$ and $P_2$ is $60^{\circ}$
D
If $P_3$ is the plane passing through the point $(4,2,-2)$ and perpendicular to the line of intersection of $P_1$ and $P_2$, then the distance of the point $(2,1,1)$ from the plane $P_3$ is $\frac{2}{\sqrt{3}}$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
