Question

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

3x² – 4√3xy + 3y² = 0 

Answer 1

Comparing the equation 3x² – 4 xy + 3y² = 0 with

ax² + 2hxy + by² = 0, we get,

a = 3, 2h = -4√3 , i.e. h = -24√3 and b = 3

Let θ be the acute angle between the lines.