A variable plane passes through a fixed point (a,b,c) and meets the co-ordinate axes in A, B, C. Show that the locus of the point common to the planes through A, B, C parallel to the co-ordiante planes is `(a)/(x) + (b)/(y)+ (c)/(z) = 1`.

A variables plane passes through the point (1,2,3) and meets the coordinate axis is P,Q,R . Then the locus of the point common to the planes P,Q,R parallel to coordinates planes

A variable plane passes through a fixed point (alpha,beta,gamma) and meets the axes at A,B, and C . show that the locus of the point of intersection of the planes through A,B and C parallel to the coordinate planes is alpha x^(-1)+beta y^(-1)+gamma z^(-1)=1

A variable plane passes through a fixed point (a,b,c) and cuts the coordinate axes at points A,B, and C. Show that eh locus of the centre of the sphere OABCis(a)/(x)+(b)/(y)+(c)/(z)=2

A plane passes through a fixed point (a, b, c) and cuts the axes in A, B, C. The locus of a point equidistant from origin A, B, C must be

a variable line passes through M (1, 2) and meets the co-ordinate axes at A and B, then locus of mid point of AB, is equal to

A variable line passes through M (1, 2) and meets the co-ordinate axes at A and B, then locus of mid point of AB, is equal to