If x, y and y - 1/x are not zero, then x - 1/y/y - 1/x equals to ………………….
If x, y and y - \(\cfrac{1}x\) are not zero, then \(\cfrac{x-\frac{1}{y}}{y-\frac{1}{x}}\) equals to ………………….
A) 1
B) \(\cfrac{x}y\)
C) \(\cfrac{y}x\)
D) \(\cfrac{x}y\) - \(\cfrac{y}x\)
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Correct option is (B) \(\frac{x}{y}\)
Given that \(x\neq0,y\neq0,\frac1x\neq0\)
Now, \(\cfrac{x-\frac{1}{y}}{y-\frac{1}{x}}=\cfrac{\frac{xy-1}{y}}{\frac{xy-1}{x}}=\frac xy\)
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