The plane `x/a+y/b+z/c=1` (A) does not pass through origin (B) is at a distance `1/sqrt(a^(-2)+b^(-2)+c^(-2)` from origin (C) makes intercepts of a,b,c on the coordinates axes (D) all of a,b,c

A line is at a distance ' c ' from origin and meets axes in A and B .The locus of the centre of the circle passing through O,A,B is

A variable plane which remains at a constant distance P from the origin (0) cuts the coordinate axes in A, B and C

A variable plane is at a distance k from the origin and meets the coordinates axes is A,B,C. Then the locus of the centroid of DeltaABC is

A variable plane cutting coordinate axes in A, B, C is at a constant distance from the origin. Then the locus of centroid of the triangleABC is

How many lines through the origin make equal angles with the coordinate axes? (A) 1 (B) 4 (C) 8 (D) 2

The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If point (2 ,1, -1) is at a distance of (1)/(sqrt(6)) from the plane , then a+b+c=

A plane a constant distance p from the origin meets the coordinate axes in A, B, C. Locus of the centroid of the triangle ABC is

The plane passing through the point (-2, -2, 2) and containing the line joining the points (1, 1, 1) and (1, -1, 2) makes intercepts of length a, b, c respectively the axes of x, y and z respectively, then