If `(a)/(b) + (b)/(a) =1, `then the value of `a ^(3) + b ^(3)` is equal to

Options

A. 0
B. 1
C. 2
D. 3

Answer

A

Explanation

`(a)/(b) +(b)/(a) = 1`
`implies a^2 + b^2 - ab =0`
अतः `(a^3 + b^3) = (a + b) (a^2 + b^2 - ab)`
` = (a+b) xx 0`
`=0`