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If (x)/(y)+(y)/(x)=-1, where x,y ne 0 ...

If ` (x)/(y)+(y)/(x)=-1`, where `x,y ne 0` then the value of `(x^3-y^3)` is

A

1

B

-1

C

0

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(x)/(y)+(y)/(x)=-1 rArr x^2+y^2+xy=0`
`rArr (x-y)(x^2-y^2+xy)=0 rArr x^3-y^3=0`.
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