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If (4m + 3n)/(4m - 3n) = 7/4 Use Properties of Proportion to Find (2m^2 - 11n^2)/(2m^2 + 11n^2) - ICSE Class 10 - Mathematics

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Question

If `(4m + 3n)/(4m - 3n) = 7/4` use properties of proportion to find `(2m^2 - 11n^2)/(2m^2  + 11n^2)`

Solution

`m/n = 11/4`

`m^2/n^2 = 121/16`

`(2m^2)/(11n^2) = (2 xx 121)/(11 xx 16)`   (Multiplying both sides by 2/11)

`(2m^2)/(11n^2) = 11/8`

`(2m^2 + 11n^2)/(2m^2 - 11n^2) = (11 + 8)/(11 - 8)` (Applying  componendo and divdendo)

`(2m^2 + 11n^2)/(2m^2  - 11n^2) = 19/3`

`(2m^2 - 11n^2)/(2m^2 + 11n^2) = 3/19`   (Applying invertendo)

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7D | Q: 21.2

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Solution If (4m + 3n)/(4m - 3n) = 7/4 Use Properties of Proportion to Find (2m^2 - 11n^2)/(2m^2 + 11n^2) Concept: Proportions.
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