QJEEAdv04Ma3dfe: JEE Advanced 2004 Mathematics - Class 12 JEEAdv04Ma3dfe Solution: and are planes passing through origin. and are two line on and…

Question

Verified Solution • 2025–26 Session moderate

{P_1}

and

{P_2}

are planes passing through origin.

{L_1}

and

{L_2}

are two line on

{P_1}

and

{P_2}

respectively such that their intersection is origin. Show that there exists points

A, B, C,

whose permutation

A',B',C'

can be chosen such that (i)

A

is on

{L_1},

B

on

{P_1}

but not on

{L_1}

and

C

not on

{P_1}

(ii)

A'

is on

{L_2},

B'

on

{P_2}

but not on

{L_2}

and

C'

not on

{P_2}

Accepted Answer

Answer

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