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?

JEE Advanced 2018 Mathematics question

Let : and : be two planes. Then, which of the following statement(s) is (are) TRUE?

(A)The line of intersection of and has direction ratios
(B)The line is perpendicular to the line of intersection of and
(C)The acute angle between and is Correct
(D)If is the plane passing through the point and perpendicular to the line of intersection of and , then the distance of the point from the plane is Correct

Answer: (C),(D)

Direction of the line of intersection: , so (A) is false. The line in (B) is , with direction : parallel to, not perpendicular to, the

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Question ID VK-026738