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Multiplication of Any Polynomial

Find the join...

Question

Find the joint equation of the following pair of lines.
$2 x + y = 0$ and $3 x - 5 y = 0$ .

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Solution

$2 x + y = 0$ & $3 x - 5 y = 0$

$(2 x + y) \times (3 x - 5 y) = 0$

$6 x^{2} - 10 x y + 3 x y - 5 y^{2} = 0$

$6 x^{2} - 5 x y + 7 x y = 0$

$∴$ Joint equation is

$6 x^{2} - 5 y^{2} + 7 x y = 0$ .

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