The correct option is B x^2x^2 + y^2 The value of xyxy+yx is ⇒xy(xy+yx) ⇒xy ( x^2+y^2xy ) ⇒x^2x^2+y^2 ...

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Higher Order Derivatives

Simplify xy...

Question

Simplify $\frac{\frac{x}{y}}{\frac{x}{y} + \frac{y}{x}}$

\frac{1}{x y}

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\frac{1}{x^{2}}

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\frac{1}{y^{2}}

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\frac{x^{2}}{x^{2} + y^{2}}

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\frac{x y}{x y + y^{2}}

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Solution

The correct option is B $\frac{x^{2}}{x^{2} + y^{2}}$
The value of $\frac{\frac{x}{y}}{\frac{x}{y} + \frac{y}{x}}$ is
$\Rightarrow \frac{x}{y (\frac{x}{y} + \frac{y}{x})}$
$\Rightarrow \frac{x}{y (\frac{x^{2} + y^{2}}{x y})}$
$\Rightarrow \frac{x^{2}}{x^{2} + y^{2}}$

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