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```        Q:- A variable plane passes through a fixed point (a,b,c) and meets the coordinate axes in A,B,C . Locus of the point common to the planes through A,B,C and parallel to coordinate plane is...............

A. a/x+b/y+c/z=1
B.x/a+y/b+z/c=1
C.ax+by+cz=1
D. None of these```
7 years ago

147 Points
```										Dear Tapasranjan
let equation of plane is
x/a1 + y/b1 + z/c1 =1
then co ordinate 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
a/x1 + b/y1 + c/z1 =1

so locus is
a/x +b/y + c/z =1

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```
7 years ago
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