यदि `(a)/(b) + (b)/(a) =2,` है, तो a-b का मान है

Options

A. 0
B. 1
C. 2
D. `-1`

Answer

A

Explanation

`(a)/(b) + (b)/(a) = 2 implies a ^(2) = b ^(2) = 2 ab`
`a ^(2) + b ^(2) - 2 ab = 0`
`because (a -b) ^(2) = a ^(2) + b^(2) - 2 ab`
`therefore a - b = sqrt (a ^(2) + b ^(2) - 2 ab)`
`implies a - b = sqrt0 implies a - b =0`