10 questions
Distance between the point P(2,5,3) from the origin is
(2,5,3)
(0,0,0)
(4,25,9)
(4,5,9)
If cos ,cos ,cos are the direction cosines of a straight line then which one of the following is true?
Determine the direction ratios of the normal to the plane 2x-3y+6z+7=0.
-2/7,3/7,-6/7
-2,3,-6
2/7,-3/7,6/7
2,-3,6
The points (2,1,1) and (2,5,-1) lie on same sides of the plane x-2y+3z+4=0. Say true or false.
True
False
The angle between the planes 2x-y+z=6 and x+y+2z=7 is
Two straight lines in space which are not coplanar are called
Intersecting lines
perpendicular lines
parallel lines
skew lines
The three planes ax+hy+gz=0, hx+by+fz=0, gx+fy+cz=0 pass through a line if
Determine the nature of a three planes x+y+2z-2=0, 2x-y+z-1=0 and x+2y-z-3=0.
Do not intersect at a single point
Three planes forms a prism
Intersect at a point
Three planes have a line of intersection
If the four vertices (3,3,0), (0,-1,0), (2,1,-1), (1,1,1) of a tetrahedron are coplanar then the volume of the tetrahedron is
2 cubic units
0 cubic units
3 cubic units
6 cubic units
The two spheres and intersect 0rthogonally.
True
False