Sunday, 9 March 2014

Folium of Descartes

 



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.

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. 



No comments:

Post a Comment

Our Latest Post

How to find log (alpha+ i beta), Where alpha and beta are real

Here is the video to show the details of solving this problem. It is an important problem for basic understanding about the logarithm of re...

Popular Post