The lines represented by ax² + 2hxy + by² = 0?

The lines represented by ax² + 2hxy + by² = 0?

Explanation

The homogeneous equation ax² + 2hxy + by² = 0 represents:

  • A pair of real and distinct straight lines through the origin if h² − ab > 0
  • A pair of coincident lines if h² − ab = 0
  • A pair of imaginary lines if h² − ab < 0

So, the correct answer is: h² − ab > 0