CBSE Class 12-science Answered
Please refer to the question in the figure below.
Asked by ggroy | 26 Feb, 2019, 07:11: PM
Expert Answer
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
Answered by Thiyagarajan K | 27 Feb, 2019, 08:01: PM
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