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
If l , m , n are the direction cosines of a line , then
l2 + m2 + n2 = 0
l2 + m2 + n2 = 1
l + m + n = 1
l = m = n = 1
The equation of the XOY plane is
x = 0
y = 0
z = 0
z = c, c ≠ 0
The direction cosines of x - axis are
<1, 0 , 0 >
<0 , 0 , 1>
<0 , 1 , 0 >
<1, 1 , 1 >
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)
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
Under what condition does a straight line is parallel to the xy -plane?
l = 0
m = 0
n = 0
l = 0, m = 0
The points A (4,5,1), B (0,-1,-1) ,C(3,9,4) and D (-4,4,4) are:
Collinear
Coplanar
Non - coplanar
non collinear and non coplanar
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/3, b/3. c/3)
The angle between the planes 2x - y + z = 6 and x + y + 2z = 7 is
π/4
π/6
π/3
π/2
