Three Dimensional Geometry

Section: Mathematics

Question : 14 of 35

Marks: +1, -0

Let P1:2x+y−z=3 and P2:x+2y+z=2 be two planes.Then which of the following statements (s) is are TRUE ?

[JEE Adv 2018 P1]

The line of intersection of P1 and P2 has direction ratios 1,2,−1
The line
3x−4
9
=
1−3y
9
=
z
3
is perpendicular to the line of intersection of P1 and P2
The acute angle between P1 and P2 is 60°
If P3 is the plane passing through the point (4,2,−2) and perpendicular to the lineof intersection of P1 and P2,then the distance of the point (2,1,1) from the plane P3 is
2
√3

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