Question

If 4m+3n/4m-3n =7/4 use the properties of proportion to find 1. 2m^2-11n^2/2m^2+ 11n^2

Answer 1

Answer:

3/19

Step-by-step explanation:

Given If 4m+3n/4m-3n =7/4 use the properties of proportion to find 1. 2m^2-11n^2/2m^2+ 11n^2

We know that by componendo and dividendo method

4m + 3n + 4m – 3n / 4m + 3n – 4m + 3n = 7 + 4/7 – 4

8m / 6n = 11/3

4m/3n = 11/3

m/n = 11/4

Now squaring both sides and multiplying by 2/11 we have

2m^2/11n^2 = 2 x121/11 x 16

            2m^2/11n^2 = 11/8

Again by componendo and dividendo rule

2m2 + 11n^2 / 2m^2 – 11n^2 = 11 + 8/11 – 8

                                              = 19/3

So 2m^2 – 11n^2 / 2m^2 + 11n^2 = 3/19