If the lines represented by the equation #x^2+y^2=c^2((bx+ay)/(ab))^2# form a right angle then prove that:#1/a^2+1/b^2+1/c^2=3/c^2#?
#1/a^2+1/b^2+1/c^2=3/c^2#
1 Answer
Dec 10, 2017
See below.
Explanation:
The product of lines is homogeneous in
then
grouping variables gives us
From the first we have
from the third we have
adding those last equations we have