The angle between the planes 2x - y + z = 6 and x + y + 2z = 7 is
π/4
π/6
π/3
π/2
A straight line with direction cosines (0,1,0) is:
Parallel to the x - axis
Parallel to the y - axis
Parallel to the z- axis
Equally inclined to all the axis
The ratio in which the line joining (2 , 4 , 5) , (3 , 5 , -9) is divided by the YZ plane is
2 : 3
3 : 2
-2 : 3
4 : - 3
The equation of the sphere touching the three co-ordinates planes is:
x2 + y2 + Z2 + 2a (x+y+Z) + 2a2 = 0
x2 + y2 + Z2 - 2a (x+y+Z) + 2a2 = 0
x2 + y2 + Z2 ± 2a (x+y+Z) + 2a2 = 0
x2 + y2 + Z2 ± 2 ax ± 2ay ± 2aZ + 2a2 = 0
The equation of y - axis is
z = 0
x = 0
y = 0, z = 0
z = 0, x = 0
The co-ordinates of a point equidistant from four distinct point (0,0,0), (a,0, 0), (0,b,0) and (0,0,c) are:
(a/2, b/2. c/2)
(a,b,c)
(a/3, b/3. c/3)
In three dimensional space, the path of a point whose distance from the x axis is 3 times its distance from the yz plane is:
y2 + z2 = 9x2
x2 + y2 = 3z2
x2 + z2 = 3y2
y2 - z2 = 9x2
The xy- plane divides the line joining the points (-1,3,4) and (2,-5,6):
internally in the ratio 2:3
internally in the ratio 3:2
externally in the ratio 2:3
externally in the ratio 3:2
The direction cosines of x - axis are
<1, 0 , 0 >
<0 , 0 , 1>
<0 , 1 , 0 >
<1, 1 , 1 >
For every P(x,y,z) on the XY - plane:
y = o
none of these
