Parametric Form of The Ellipse
Category : JEE Main & Advanced
Let the equation of ellipse in standard form will be given by \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\].
Then the equation of ellipse in the parametric form will be given by \[x=a\cos \varphi ,y=b\sin \varphi \], where \[\varphi \] is the eccentric angle whose value vary from \[0\le \varphi <2\pi \]. Therefore coordinate of any point P on the ellipse will be given by \[(a\cos \varphi \,,\,b\sin \varphi )\].
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