Math Problem Solver

If 𝑎𝑥

2 + 2ℎ𝑥𝑦 + 𝑏𝑦2 + 2𝑔𝑥 + 2𝑓𝑦 + 𝑐 = 0 represent a pair of straight lines,

the area of the triangle formed by their bisector and the axis of x is

√{(𝑎−𝑏)

2+4ℎ2}

2ℎ

.

𝑐𝑎−𝑔

2

𝑎𝑏−ℎ2