If a line makes the angles α, β and γ with the axes respectivley, then cos 2α + cos 2β + cos2 γ =
-2
-1
1
1/2
The direction cosines of a line equally inclined with coordinate axes are :
( 1, 1, 1 )
( 1, 0, 0 )
( 0, 1, 0)
Skew lines are :
Perpendicular lines
Parallel lines
Co planes lines
Non - Co planar lines
The angle between two lines
cos -1 ( 1/9 )
cos -1 ( 2/9 )
cos -1 ( 3/9 )
cos -1 ( 4/9 )
If cos α, cos β, cos γ are the direction cosines of a line, the vale of sin2 α + sin2 β + sin2 γ is
2
3
4
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
The angle between the planes 2x - y + z = 6 and x + y + 2z = 7 is
π
2π/3
π/2
π/3
L is parallel to π
L is perpendicular to π
L lies in π
None of these
The equation of the plane through the origin and parallel to the plane. 3x - 4y + 5z - 6 = 0 is.
3x - 4y + 5z + 6 = 0
3x + 4y - 5z + 6 = 0
3x - 4y - 5z - 6 =0
3x - 4y + 5z = 0.
A point (x.y.z) moves parallel to XY plane Which of three variables x,y,z remain fixed
z
x
y
x and y