A variable plane moves ,so that the sum of the reciprocals of its intercepts on the co-ordinate axes is 1/2.Then the plane passes through .
(1/2,1/2,1/2)
(-1,1,1)
(2,2,2)
(0,0,0)
The perpendicular distance of the point (6,5,8) from y-axis is
5 units
6 units
8 units
10 units
The plane x/2 + y/3 + z/4 = 1,cut the axes in A,B,C then the area of the Δ ABC is
√29 Sq - unit
√41 Sq - unit
√61 Sq - unit
None of these
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 xy-plane divides the line joining the points (-1,3,4) and (2,-5,6)
internally in the ratio 2 : 3
externally in the ratio 2 : 3
internally in the ratio 3 : 2
externally in the ratio 3 : 2
The direction cosines of the line joining the points (4,3,-5) and (-2,1,-8) are
(6/7 , 2/7 , 3/7 )
(2/7 , 3/7 , 6/7 )
(6/7 , 3/7 , 2/7 )
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
The distance between the points (1,4,5) and (2,2,3 ) is
5
4
3
2
The equation of the plane passing through (2,3,4) and parallel to the plane 5x-6y+7z=3 is
5x-6y+7z+20 = 0
5x-6y+7z-20=0
-5x+6y-7z+3=0
5x+6y+2z+3=0
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
