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Find the separate equations of the lines represented by following equation:

5x2 + 2xy – 3y2 = 0

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Comparing the equation 5x2 + 2xy – 3y2 = 0

with ax2 + 2hxy + by2 = 0, we get,

a = 5, 2h = 2, b = -3

Let m1 and m2 be the slopes of the lines represented by 5x2 + 2xy – 3y2 = 0

Now required lines are perpendicular to these lines

∴ their slopes are \(\frac{-1}{m_1}\) and \(\frac{-1}{m_2}\)

Since these lines are passing through the origin, their separate equations are

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