Two planes P_1 and P_2 pass through origin. Two lines L_1 and L_2 also passing through origin are such that L_1

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Q 2538291102.     Two planes P_1 and P_2 pass through origin. Two lines L_1 and L_2 also passing through 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 three points other than origin, then prove that the pernmtation [A', B', C'] of [A, B, C] exists. Such that

(a) A lies on L_1 , B lies on P_1 not on L_1, C does not lie on P_1

(b) A' lies on L_2 , B' lies on P_2 not on L_2`, C' does not lie on

JEE 2004 Mains

HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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