Question

6) Find mean proportional of
x+y x² - - y
x-y x²y?​

Answer 1

Answer:

Step-by-step explanation:

concept : mean proportional of a and b is given as √(ab).

here a = (x + y)/(x - y) and b = (x² - y²)/x²y²

so, mean proportional of given expressions is ...

=  

we know from algebraic identity,

p² - q² = (p - q)(p + q)

so, (x² - y²) = (x - y)(x + y)

=  

=  

=  

hence, mean proportional of x+y/x-y, x²-y²/x²y² is (x + y)/xy