The length of the perpendicular from the origin to the plane 3x+4y+12z = 5z is
3
-4
5
None of these
If α,β,γ be the angles which a line makes with the co-ordinate axes ,then
Sin2α + Cos2β + Sin2 γ=1
Cos2α + Cos2β + Cos2 γ=1
Sin2α + Sin2β + Sin 2γ=1
Cos2α + Cos2β + Sin2 γ=1
The intercept of the plane 5 x - 3 y + 6 z = 60 on the co-ordinate axes are
(10,20,-10)
(10,-20,12)
(12,-20,10)
(12,20,-10)
If a line makes angles with four diagonals of a cube ,then the value of
is
4/3
8/3
7/3
1
The xy- plane divides the line joining the points (-3,3,4) 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 the plane x+2y+2z-15=0 cuts the circle x2 + y2 + z2 - 2y-4z-11=0,then radius of circle is
√3
√5
√7
The points A (4,5,1), B (0,-1,-1) (3,9,4) and D (-4,4,4) are:
Collinear
Coplanar
Non - coplanar
non collinear and non coplanar
If a line lies in the octant OXYZ and it makes equal angles with the axes ,then
l=m=n=1/√3
l=m=n=±1/√3
l=m=n=-1/√3
l=m=n=±1/√2
The projection of the line joining the points (3,4,5) and (4,6,3) on the line joining the points (-1,2,4) and (1,0,5) is :
2/3
-4/3
1/2
If a plane meets the coordinate axes at A,B and C such that the centroid of the triangle is (1,2,4), then the equation of the plane is
x + 2 y + 4 z = 12
4 x + 2 y + z = 12
x + 2 y + 4 z = 3
4 x + 2 y + z = 3
