What must be added to both the terms of ` x : y` so that the resultant ratio is inverse of the given ratio ` (x ne y)` ?

Options

A. y-x
B. x-y
C. `-(x-y)`
D. x+y

Answer

C

Explanation

Let `(x+k)/(y+k) = y/x rArr x^(2) + kx = y^(2) + ky`
` rArr k(x-y)= y^(2)-x^(2) rArr k = -(y+x)`.