Statement I If a parallelopiped is formed by planes drawn through the points (2,3,5) and (5,9,7) parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2. Statement II Length of diagonal of above parallelopiped is 7 units.

Question

Statement I If a parallelopiped is formed by planes drawn through the points (2,3,5) and (5,9,7) parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2. Statement II Length of diagonal of above parallelopiped is 7 units. (A) Only Statement I is true (B) Only Statement II is true (C) Both statements are true (D) Both statements are false

Tardigrade Admin · Accepted Answer

Length of edges of the parallelopiped are 5-2,9-3,7-5 i.e., 3, 6, 2, Length of diagonal is √32+62+22=7 units.

Q. Statement I If a parallelopiped is formed by planes drawn through the points $(2, 3, 5)$ and $(5, 9, 7)$ parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2.
Statement II Length of diagonal of above parallelopiped is 7 units.

Only Statement I is true

Only Statement II is true

Both statements are true

Both statements are false

Length of edges of the parallelopiped are
$5 - 2, 9 - 3, 7 - 5$ i.e., $3, 6, 2$ ,
Length of diagonal is $3^{2} + 6^{2} + 2^{2} = 7$ units.

Q. Statement I If a parallelopiped is formed by planes drawn through the points (2,3,5) and (5,9,7) parallel to the coordinate planes, then the length of edges of a parallelopiped are 3, 6 and 2. Statement II Length of diagonal of above parallelopiped is 7 units.