The angle between the planes 2x - y + z = 6 and x + y + 2z = 7 is
π
2π/3
π/2
π/3
None of these
The direction cosines of x-axis are :
(1,0,0,)
(0,0,1)
(0,1,0)
(1,1,1)
The length of the perpendicular from the origin to the plane 3x + 4y + 12 z = 52 is
3
-4
5
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 )
If A(1,2,3) , B(-1,-1,-1) be the points ,then the distance AB is
√5
√21
√29
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.
The direction cosines a line are ( 1/c, 1/c, 1/c) then:
C > 0
0 < C < 1
C ± √3
C > 2
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
