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3D Geometry question

2008 · Shift 1 · Q26

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2008 · Shift 1 · Q26

3D Geometry question

2008 · Shift 1 · Q26

JEE AdvancedMathematics3D GeometryMCQ+4 / −1

Consider three planes

{P_1}:x - y + z = 1{P_2}:x + y - z = 1{P_3}:x - 3y + 3z = 2

Let

{L_1},{L_2},{L_3}

be the lines of intersection of the planes

{P_2}

and

{P_3},{P_3}

and

{P_1},{P_1}

and

{P_2},

respectively. STATEMENT - 1Z: At least two of the lines

{L_1},{L_2}

and

{L_3}

are non-parallel and STATEMENT - 2: The three planes doe not have a common point.

A
STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1
B
STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explanation for STATEMENT - 1
C
STATEMENT - 1 is True, STATEMENT - 2 is False
D
STATEMENT - 1 is False, STATEMENT - 2 is True

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