The conversation between human and AI assistant.
What is the condition if point (2,3) lies in acute angle made by a pair of Straight Lines : ax^2+2hxy+by^2+2gx+2fy+c=0?
Can you show me how to do that?
Sure. We can start by solving for y: 

ax^2+2hxy+by^2+2gx+2fy+c=0
by^2 + 2hxy + (ax^2 + 2gx + c) = 0
y^2 + (2hx/b) y + (ax^2 + 2gx + c)/b = 0
Using the quadratic formula, we can solve for y in terms of x:

y = (-2hx/b ± sqrt((2hx/b)^2 - 4(a/b)(ax^2 + 2gx + c)/b)) / 2(a/b)

Then, we can compare the coefficients of x and y for the two solutions to find the slopes of the lines.