{(x + y)/x} + {(x - y)/y} - {(x2 - y2)/xy} = কত?

A 2y/x

B x/y

C 2x/y

D y/x

Solution

Correct Answer: Option A

  {(x + y)/x} + {(x - y)/y} - {(x 2 - y 2 )/xy}
= y(x + y) + x(x - y) - (x 2 - y 2 )/xy 
= (xy + y 2 + x 2 - xy - x 2 + y 2 )/xy 
= 2y 2 /xy 
= 2y/x

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