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Point Form of Normal:Hyperbola

Find the sepa...

Question

Find the separate equation of the lines represented by the following equation.
$5 x^{2} - 9 y^{2} = 0$ .

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Solution

$5 x^{2} - 9 y^{2} = 0$ $(\sqrt{5} x + 3 y) (\sqrt{5} x - 3 y) = 0$
The separate equations of the line are
1) $\sqrt{5} x + 3 y = 0$
2) $\sqrt{5} x - 3 y = 0$

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