Skew lines are :
Perpendicular lines
Parallel lines
Co planes lines
Non - Co planar lines
-10
10/7
-10/7
-7/10
The co - ordinates of a points p are ( 3, 12, 4 ) w. r. t. the origin 0. then the direction cosines of OP are:
( 3, 1, 2, 4 )
( 1/4, 1/3, 1/2 )
( 3/13, 12/13, 4/13 )
The direction cosines of any normal to the XY-plane are
(1,0,0)
(0,1,0)
(1,1,0)
(0,0,1)
The locus of a first degree equation in x, y, z is
Straight line
Plane
Sphere
None of these
The angle between the two planes 3x-4y+5z = 0 and 2x-y-2z = 5 is
π/3
π/2
π/6
π/4
450
300
600
900
The line is parallel to the plane.
2x + y - 2z = 0
3x + 4y + 5z = 7
x + y + z = 2
2x + 3y + 4z = 0
The angle between two lines
cos -1 ( 1/9 )
cos -1 ( 2/9 )
cos -1 ( 3/9 )
cos -1 ( 4/9 )
The equation of the sphere concentric with and which phases through the point ( 0, 1, 0 ) is
x2 + y2 - z2 + 4x + 6y - 8z -7 = 0
x2 + y2 +z 2 + 4x - 6y - 8z = 0
x2 +y2 + z2 -4x - 6y - 8z + 5 = 0
x2 + y2 + z2 - 4z + 6y - 8z - 7 = 0.
