Which of the following is equivalent to xy - x2xy - y2-

The correct option is D xy xy x^2xy y^2=x(y x)y(x y)= xy ...

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Standard XII

Mathematics

Complex Numbers

Which of the ...

Question

Which of the following is equivalent to $\frac{x y - x^{2}}{x y - y^{2}}$ ?

- \frac{y}{x}

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\frac{y}{x}

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\frac{x}{y}

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- \frac{x}{y}

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Solution

The correct option is D $- \frac{x}{y}$
$\frac{x y - x^{2}}{x y - y^{2}} = \frac{x (y - x)}{y (x - y)} = - \frac{x}{y}$

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Which of the following is equivalent to xy−x2xy−y2?

The correct option is D −xyxy−x2xy−y2=x(y−x)y(x−y)=−xy

Which of the following is equivalent to $\frac{x y - x^{2}}{x y - y^{2}}$ ?

The correct option is D $- \frac{x}{y}$
$\frac{x y - x^{2}}{x y - y^{2}} = \frac{x (y - x)}{y (x - y)} = - \frac{x}{y}$