A conic ax2 + 2hxy +by2 + 2gx + 2fy
+c=0 represents a hyperbola if A+ 0
and :
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It is fundamental concept that for equation ax
2
+2hxy+by
2
+2gx+2fy+c=0 to represents a rectangular hyperbola it has to satisfy following condition,
Δ=abc+2fgh−af
2
−bg
2
−ch
2
=0,h
2
>ab and a+b=0
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