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Q.

The extremities of a diagonal of a rectangular parallelepiped whose sides parallel to axes are (2, 3, 5) and (5, 7, 10) if the corresponding projections over the axes are A,B,C then

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a

A > B > C

b

A < B < C

c

A < C < B

d

A > C < B

answer is B.

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Detailed Solution

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Let P(2,3,5) Q(5,7,10) through which planes are drawn parallel to coordinate planes lengths of the edges of the parallelpiped are

$A = x_{2} - x_{1} = 5 - 2 = 3, B = y_{2} - y_{1} = 7 - 3 = 4, C = z_{2} - z_{1} = = 10 - 5 = 5$

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The extremities of a diagonal of a rectangular parallelepiped whose sides parallel to axes are (2, 3, 5) and (5, 7, 10) if the corresponding projections over the axes are A,B,C then