Question

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

5x² + 2xy – 3y² = 0

Answer 1

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