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3D Geometry question

2018 · Shift 1 · Q21

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2018 · Shift 1 · Q21

3D Geometry question

2018 · Shift 1 · Q21

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −1

Let P1 : 2x + y

-

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

A
The line of intersection of P1 and P2 has direction ratios 1, 2, $-$ 1
B
The line ${{3x - 4} \over 9} = {{1 - 3y} \over 9} = {z \over 3}$ is perpendicular to the line of intersection of P1 and P2
C
The acute angle between P1 and P2 is 60 $^\circ$
D
If P3 is the plane passing through the point (4, 2, $-$ 2) and perpendicular to the line of intersection of P1 and P2, then the distance of the point (2, 1, 1) from the plane P3 is ${2 \over {\sqrt 3 }}$

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