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Two planes P1 and P2 pass through origin...

Two planes` P_1 and P_2` pass through origin. Two lines `L_1 and L_2` also passingthrough origin are such that ` L_1` lies on `P_1` but not on `P_2, L_2` lies on `P_2` but not on `P_1 A,B, C` are there points other than origin, then prove that the permutation `[A', B', C']` of `[A, B, C]` exists. Such that: (a) A lies on L1, B lies on P1 not on L1, C does not lie on P1 . (b) A lies on L2, B lies on P2 not on L2, C' does not lies on P2.

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