The acute angle θ between the lines ax2 + 2hxy + by2 = 0 is given by
Comparing the equation 2x2 – 5xy + 3y2 = 0
with ax2 + 2hxy + by2 = 0, we get,
a = 2, 2h= -5, i.e. h = -5/2 and b = 3
Let ∝ be the acute angle between the lines
2x2 – 5xy + 3y2 = 0.
This is the required condition.