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Two planes P1 and P2 pass through origin. Two lines L1 and L2 also passing through origin are such that L1 lies on P1 but not on P2, L2 lies on P2 but not on P1. A, B, C are three points other than origin, then prove that the permutation [A', B', C'] of [A, B, C] exists such that (i). A lies on L1, B lies on P1 not on L1, C does not lie on P1. (ii). A' lies on L2, B' lies on P2 not on L2, C' does not lie on P2.

Two planes P1 and P2 pass through origin. Two lines L1 and L2 also passing through origin are such that L1 lies on P1 but not on P2, L2 lies on P2 but not on P1. A, B, C are three points other than origin, then prove that the permutation [A', B', C'] of [A, B, C] exists such that
(i). A lies on L1, B lies on P1 not on L1, C does not lie on P1.
(ii). A' lies on L2, B' lies on P2 not on L2, C' does not lie on P2.

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
2 years ago
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