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# A Rectangular Parallelopiped is Formed by Planes Drawn Through the Points (5, 7, 9) . the Length of an Edge of this Rectangular Parallelopiped is (A) 2 (B) 3 (C) 4 (D) All of These - CBSE (Commerce) Class 12 - Mathematics

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ConceptDirection Cosines and Direction Ratios of a Line

#### Question

A rectangular parallelopiped is formed by planes drawn through the points (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is

• 2

• 3

• 4

• all of these

#### Solution

all of these

The given points (5, 7, 9) and (2, 3, 7) are two diagonally opposite vertices of the parallelopiped as all of their coordinates are different

Edges of the parallelopiped = |52|, |73|, |97|                                                      =3, 4, 2

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Solution A Rectangular Parallelopiped is Formed by Planes Drawn Through the Points (5, 7, 9) . the Length of an Edge of this Rectangular Parallelopiped is (A) 2 (B) 3 (C) 4 (D) All of These Concept: Direction Cosines and Direction Ratios of a Line.
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