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
If P is the point (2,6,3) ,then the equation of the plane through p at right angle to OP,O being the origin ,is
2x + 6y + 3z =7
2x-6y+3z=7
2x+6y-3z=49
2x+6y+3z-49
The angle between the straight lines x+1/2 = y-2/5 = z+3/4 and x-1/1 = y+2/2 = z-3/-3 is
450
300
600
900
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
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
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 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)
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
The equation to the straight line passing through the points (4,-5,-2) and (-1,5,3) is
x-4/1=y+5/-2=z+2/-1
x+4/1=y-5/2=z-3/-1
x/-1=y/5=z/3
x/4=y/-5=z/-2
