07-17-2014, 02:10 PM
[B]MTH 301 Calculus II Assignment No 2 Solution Ideas Spring 2014
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Symmetry about the Initial Line
If the equation of a curve remains unchanged when (r,θ
is replaced by either (r,-θ
in its equation ,then the curve is symmetric about initial line.
(ii) Symmetry about the y-axis
If when (r, θ
is replaced by either (r,π θ − ) in The equation of a curve and an equivalent equation
is obtained ,then the curve is symmetric about the
line perpendicular to the initial i.e, the y-axis
(ii) Symmetry about the Pole
If the equation of a curve remains unchanged
when either (-r, θ
or is substituted for (r, θ in its equation ,then the curve is symmetric
about the pole. In such a case ,the center of
the curve.[/B]