Is it a Conic?

Geometry Level 1

What does the equation x y = 1 xy=1 represent?

Ellipse Hyperbola Parabola Pair of straight lines

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1 solution

Vishnu Sharma
Oct 22, 2018

Here A=0, B=1, C=0, D=0, E=0 and F= -1 So B^2-4AC = 1>0

Again here, a=0, b=0, c= -1, f=0, g=0 and h= 1/2 abc + 2fgh -af^2 - bg^2 - ch^2 = 0+0-0-0+1/4 = 1/4 which is not equal to 0

Therefore, by both the conditions- The given equation represents Hyperbola

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