CBSE Class 12-science Answered

let equation of plane is  x/a1 + y/b1 + z/c1 =1

then coordinate of A is (a1,0,0)  ,B is (0,b1,0) ,C is (0,0,c1)

this plane passes through (a,b,c), so

 a/a1 +b/b1 + c/c1  =1 .....................(1)

equation of plane passes trough A and parallel to coordinate plane  is    x= a1

equation of plane passes trough B and parallel to coordinate plane  is     y= b1

equation of plane passes trough C and parallel to coordinate plane  is     z= c1

let common poin in these plane is (x1,y1,z1)

 so x1=a1,      y1=b1 ,      z1=c1

put value of a1,b1,c1 in equation 1 :   we get a/x1 + b/y1 + c/z1 =1

so locus is    a/x +b/y + c/z =1