**Folium of Descartes :-**

**cube of x + cube of y = 3axy**It is symmetrical about the line

**y=x**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.

*is its only asymptote.*

**x+y+a=0***can not both be negative .*

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

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