JEE Advanced 2022 Mathematics question
Let and be two planes given by
:\ 10x + 15y + 12z - 60 = 0,
:\ -2x + 5y + 4z - 20 = 0.
Which of the following straight lines can be an edge of some tetrahedron whose two faces lie on and ?
Answer: (A),(B),(D)
Solution
The faces on and share an edge on , whose direction is ; e.g. . The other edges are: two lying in and two lying in (each meeting ), and one edge joining the third vertex in to the third vertex in
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