Question

Find k if,

slopes of lines represent by 3x² + kxy – y² = 0 differ by 4.

Answer 1

Comparing the equation 3x² + kxy – y² = 0 with ax² + 2hxy + by² = 0, we get, a = 3, 2h = k, b = -1.

Let m₁ and m₂ be the slopes of the lines represented by 3x² + kxy – y² = 0.

∴ k² = 4 ∴ k = ±2.