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Jay
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Machine Learning
Cartesian Curve Tracing
Jay
posted 2 weeks 4 days ago
In order to trace the Cartesian curve it is convenient to observe the following steps:
Step 1 : Symmetry
(a) Symmetry about the x-axis :
Can be checked by replacing y by -y.
(b) Symmetry about the y-axis :
Can be checked by replacing x by -x.
(c) Symmetry about both x and y axis:
If powers of x and y both are even everywhere in equation.
(d)
Symmetry in the opposite quadrant :
If there is no change in equation when x is replaced by -x and y is replaced by -y simultaneously.
(e) Symmetry about the line y=x :
If there is no change in equation when x and y are interchanged.
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