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The area bounded by the curve $| p x + q y | + | q x - p y | = a$ , is _________Squints.

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$\frac{2 a^{2}}{p^{2} + q^{2}}$

$\frac{2 a^{2}}{\sqrt{p^{2} + q^{2}}}$

$2 a^{2}$

$2 a^{2} \sqrt{p^{2} + q^{2}}$

answer is D.

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Detailed Solution

$| \frac{p x + q y}{\sqrt{p^{2} + q^{2}}} | + | \frac{q x - p y}{\sqrt{p^{2} + q^{2}}} | = \frac{a}{\sqrt{p^{2} + q^{2}}}$ . is of the form $| X | + | Y | = \frac{a}{\sqrt{p^{2} + q^{2}}}$

The area bounded by the curve $| x | + | y | = a (a > 0)$ is $2 a^{2}$

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