IIT-JEE Advanced 2022 Maths Paper 1 Problem 11

Problem

Let P1 and P2 be two planes given by P1: 10x + 15y + 12z − 60 = 0 and P2: −2x + 5y + 4z − 20 = 0. Which of the following straight lines can be an edge of some tetrahedron whose two faces lie on P1 and P2?
A (x – 1)/0 = (y – 1)/0 = (z – 1)/5
B (x – 6)/-5 = y/2 = z/3
C x/-2 = (y – 4)/5 = z/4
D x/1 = (y – 4)/-2 = z/3

Solution

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