a2x2=y3(2a-y) trace the curve
We shall show the trace of the equation
(1) The curve is symmetrical about y-axis
(2)It passes through the origin and the tangents at the origin are
(3) The curve has no asymptote
(4) The curve meets the y-axis at the origin only and meets the y-axis at From the equation of the curve, we have
For or , is imaginary.
Thus, the curve entirely lies between and which is shown in the below figure
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