Home
Class 12
MATHS
A parallelepiped is formed by planes dra...

A parallelepiped is formed by planes drawn parallel to coordinate axes through the points A=(1,2,3) and B=(9,8,5). The volume of that parallelepiped is equal to (in cubic units)

A

192

B

48

C

32

D

96

Text Solution

Verified by Experts

The correct Answer is:
D

Translating the axes through A(1,2,3). A changes to (0,0,0) B changes to (8,6,2).
`therefore` Coterminous edges are of lengths 8,6,2. Volume of parallelepiped `=8.62= 96 cu`. Units
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise JEE Previous Year|12 Videos
  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

Similar Questions

Explore conceptually related problems

A parallelepiped is formed by planes drawn through the points P(6,8,10)a n d(3,4,8) parallel to the coordinate planes. Find the length of edges and diagonal of the parallelepiped.

A parallelepiped S has base points A ,B ,Ca n dD and upper face points A^(prime),B^(prime),C^(prime),a n dD ' . The parallelepiped is compressed by upper face A ' B ' C ' D ' to form a new parallepiped T having upper face points A",B",C"a n dD" . The volume of parallelepiped T is 90 percent of the volume of parallelepiped Sdot Prove that the locus of A" is a plane.

Find the equation of the plane through the points (2, 3,1)a n d(4,-5,3) and parallel to the x-axis.

Find the equation of the plane passing through the points (1, 1,-1), (2, 3, 5) and (-1,4,-5).

Find the coordinates of the point where the line through the points A(3,4, 1) and B(5, 1,6) crosses the XY plane.

An ellipse is sliding along the coordinate axes. If the foci of the ellipse are (1, 1) and (3, 3), then the area of the director circle of the ellipse (in square units) is (a) 2pi (b) 4pi (c) 6pi (d) 8pi

Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the ZX-plane .

Find the coordinates of the point where the line through (5,1,6) and (3,4,1) crosses the YZ -plane.

Find the equation of the plane that passes through three points : (1,1,-1),(6,4,-5),(-4,-2,3) .

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.