Question

Find the measure of the acute angle between the lines represented by:

4x² + 5xy + y² = 0

Answer 1

Comparing the equation 4x² + 5xy + y² = 0

with ax² + 2hxy + by² = 0, we get,

a = 4, 2h = 5, i.e. h = 5/2 and b = 1.

Let θ be the acute angle between the lines.