Home
Class 12
MATHS
A variable plane passes through a fix...

A variable plane passes through a fixed point `(alpha,beta,gamma)` and meets the axes at `A ,B ,a n dCdot` show that the locus of the point of intersection of the planes through `A ,Ba n dC` parallel to the coordinate planes is `alphax^(-1)+betay^(-1)+gammaz^(-1)=1.`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 variable plane passes through a fixed point (a, b, c) and cuts the axes in A. B and C respectively. The locus of the centre of the sphere OABC. O being the origin.is

Equation of the plane passing through (-1,3,4) and parallel to YZ-plane is

A variable plane at constant distance p form the origin meets the coordinate axes at P,Q, and R. Find the locus of the point of intersection of planes drawn through P,Q, r and parallel to the coordinate planes.

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 (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