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Let P(1):2x+y-z=3" and "P(2):x+2y+z=2 be...

Let `P_(1):2x+y-z=3" and "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)and p _(2)` has has direction ratios `1,2,-1`

B

The line `(3x -4)/(9) = (1 - 3y)/(9) = 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^(@)`

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 (2)/(sqrt3)`

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The correct Answer is:
C, D
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