Question

if x/y=7/4, the value of(x^2-y^2)/(x^2+y^2)

Answer 1

given ratio of x& y is 7:4
=> x=7k & y=4k
(x^2-y^2)/(x^2+y^2)
=(49k^2 - 16k^2)/(49k^2 + 16k^2)
= 33k^2/65k^2
=>
(x^2-y^2)/(x^2+y^2) = 33/65