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 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 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

Find the equation of the straight line passing through the origin and bisecting the portion of the line a x+b y+c=0 intercepted between the coordinate axes.

If (a)/(b) = (c)/(d) , show that : (a + b) : (c + d) = sqrt(a^(2) + b^(2)) : sqrt(c^(2) + d^(2))

Show that equation of the circle passing through the origin and cutting intercepts a and b on the coordinate axes is x^2 + y^2 - ax - by =0

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

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

The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.

The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.