Share
Notifications

View all notifications
Advertisement

If `(X^2 + 3xy^2)/(3x^2y + Y^3) = (M^2 + 3mn^2)/(3m^2 + N^3)` Show that Nx = My - Mathematics

Login
Create free account


      Forgot password?

Question

If `(x^2 + 3xy^2)/(3x^2y + y^3) = (m^2 + 3mn^2)/(3m^2n + n^3)` show that nx = my

Solution

`(x^2 + 3xy^2)/(3x^2y + y^3) = (m^2 + 3mn^2)/(3m^2n + n^3)`

Applying componendo and dividendo

`(x^3 + 3xy^2 + 3x^2y + y^3)/(x^3 + 3xy^2 - 3x^2y - y^3) = (m^3 + 3mn^2 + 3m^2n + n^3)/(m^3 + 3mn^2 - 3m^2n - n^3)`

`(x + y)^3/(x - y)^3 = (m + n)^3/(m - n)^3`

`(x + y)/(x - y) = (m + n)/(m - n)`

Applying componendo and dividendo

`(x + y + x - y)/(x + y - x + y) = (m + n + m - n)/(m + n - m + n)`

`(2x)/(2y) = (2m)/(2n)`

`x/y = m/n`

nx = my

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(C) | Q: 15 | Page no. 102
Advertisement

Video TutorialsVIEW ALL [1]

If `(X^2 + 3xy^2)/(3x^2y + Y^3) = (M^2 + 3mn^2)/(3m^2 + N^3)` Show that Nx = My Concept: Componendo and Dividendo Properties.
Advertisement
View in app×