The direction of the diagonals of a cube which joins the origin to the oppostie corner are ( when the 3 concurrent
edges of the cube are co ordinate axes )
2/ √3, 2/ √3, 2/ √3
1, 1, 1
2, -2, 1
1, 2, 3
The angle between the two planes 3x-4y+5z = 0 and 2x-y-2z = 5 is
π/3
π/2
π/6
π/4
00
300
450
900
600
The direction cosines of a line equally inclined with coordinate axes are :
( 1, 1, 1 )
( 1, 0, 0 )
( 0, 1, 0)
The intercept of the plane 5x - 3y + 6z = 60 on the co - ordinate axes are
( 10, 20, -10 )
( 10, -20, 12 )
( 12, -20, 10 )
( 12, 20, -10 )
The point which divides the line joining the points (2,4,5) and (3,5,-4) in the ratio -2:3 lies on
ZOX-plane
XOY-plane
YOZ-plane
None of these
The equation of a plane which cuts equal intercepts of unit length on the axes ,is
x+y+z = 0
x+y+z = 1
x+y-z = 0
x/a + y/a + z/a = 1
Parallel
Coincident
Skew
Perpendicular
The direction cosines of any normal to the XY-plane are
(1,0,0)
(0,1,0)
(1,1,0)
(0,0,1)
