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 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)
The equation of the XOY plane is
x = 0
y = 0
z = 0
z = c, c ≠ 0
Under what condition does a straight line is parallel to the xy -plane?
l = 0
m = 0
n = 0
l = 0, m = 0
For every P(x,y,z) on the XY - plane:
y = o
none of these
In the space the equation by + cz + d = 0 represents a plane perpendicular to the plane:
YOZ
Z = K
ZOX
XOY
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
The equation of the sphere whose centre is (1,1,1) and which passes through (3,3,2), is:
x2 + y2 + z2 + 2x + 2y + 2z = 6
x2 + y2 + z2 - 2x - 2y +- 2z = 0
x2 + y2 + z2 - 2x + 2y - 2z = 6
x2 + y2 + z2 + 2x + 2y + 2z = 38
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)
The direction cosines of x - axis are
<1, 0 , 0 >
<0 , 0 , 1>
<0 , 1 , 0 >
<1, 1 , 1 >
