Folium of Descartes


Folium of Descartes :-

cube of  x  + cube of   y = 3axy

It is symmetrical about the line


and meets in at the point

(3a/2, 3a/2)

It passes through the origin and

x=0    y=0  

are the tangents there so that the origin is a node on the curve.

It meets the co-ordinate axes at the origin only.

x+y+a=0    is its only asymptote.

x,  y   can not both be negative .

So, that no part of the curve lies in the third quadrant. 


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