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
Mathbot Says...
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