A point `P` moves on a plane `x/a+y/b+z/c=1.` A plane through `P` and perpendicular to `O P` meets the coordinate axes at `A , Ba n d Cdot` If the planes through `A ,Ba n dC` parallel to the planes `x=0,y=0a n dz=0,` respectively, intersect at `Q ,` find the locus of `Qdot`

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1.A plane through P and perpendicular to OP meets the coordinate axes at A,B andC.If the planes through A,B and C parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q.

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1 . A plane through P and perpendicular to OP meets the coordinate axes in A, B and C. If the planes throught A, B and C parallel to the planes x=0, y=0 and z=0 intersect in Q, then find the locus of Q.

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1 . A plane through P and perpendicular to OP meets the coordinate axes in A, B and C. If the planes throught A, B and C parallel to the planes x=0, y=0 and z=0 intersect in Q, then find the locus of Q.

A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1. A plane through P and perpendicular to OP meets the coordinate axes at A, B and C.If the parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q.

Equation of the plane through P(1,2,3) and parallel to the plane x+2 y+5 z=0 is

Find the equation of the plane through P(1,4,-2) and parallel to the plane -2x+y-3z=0

A variable plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

A variable plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

A point P moves on the plane (x)/(a)+(y)/(b)+(z)/(c)=1 . The plane, drawn through prependicular to OP meets the axes in L,M,N. the palnes through L,M,N, parallel to the coordinate plane meet in a point Q, then show that the locus of Q is given by the equation : x^(-2)+y^(-2)z^(-2)=(1)/(ax)+(1)/(by)+(1)/(cz) .

A point P moves on the fixed plane (x)/(a)+(y)/(b)+(z)/(c )=1 the plane through the point P and perpendicular to the line bar(OP) where O=(0,0,0) meets coordinate axes in A, B, C. Show that the locus of the point of intersection of the planes through A, B, C and parallel to the cooridnate planes is (1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(ax)+(1)/(by)+(1)/(cz) .