Under what condition does a straight line is parallel to the xy -plane?
l = 0
m = 0
n = 0
l = 0, m = 0
The equation of the sphere through x2 + y2 + z2= 4; 2x + 3y + 4z = 7 and (1,2,0) is given by:
x2 + y2 + z2 - 2x - 3y + 4 = 0
x2 + y2 + z2 - 2x - 3y + 4z + 3 = 0
x2 + y2 + z2 - 2x - 3y + 6z + 3 = 0
x2 + y2 + z2 - 2x - 3y +8z + 5 = 0
Which of the following triplets gives the direction cosines of a line ?
<1 , 1 , 1 >
<1 , -1 , 1 >
<1 , -1 , -1 >
<1/√3 , 1/√3 ,1/√3 >
For every P(x,y,z) on the XY - plane:
x = 0
y = o
z = 0
none of these
In the space the equation by + cz + d = 0 represents a plane perpendicular to the plane:
YOZ
Z = K
ZOX
XOY
Co - ordinate of a point equidistant from the point (0,0,0), (a,0,0), (0,b,0). (0,0,c) is:
(a/2, b/2, c/2)
(a/4, b/4, c/4)
(a/2, b/4. c/4)
(a,b,c)
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 equation of the XOY plane is
y = 0
z = c, c ≠ 0
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 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
