what is a parametric equation?
what does it mean by parametric equation of parabola?

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Parametric} \mathrm{equation} \mathrm{is} \mathrm{used} \mathrm{to} \mathrm{represent} \mathrm{dependent} \mathrm{and} \mathrm{independent} \\ \mathrm{variable} \mathrm{in} \mathrm{terms} \mathrm{of} \mathrm{single} \mathrm{variable}. \\ \mathrm{e}.\mathrm{g}. \mathrm{Parametric} \mathrm{equation} \mathrm{of} \mathrm{parabola} {\mathrm{y}}^2=4\mathrm{ax} \mathrm{is} \\ \mathrm{x}={\mathrm{at}}^2, \mathrm{y}=2\mathrm{at} \\ \mathrm{As} \mathrm{you} \mathrm{can} \mathrm{see}, \mathrm{both} \mathrm{x} \mathrm{and} \mathrm{y} \mathrm{are} \mathrm{written} \mathrm{in} \mathrm{terms} \mathrm{of} \text{'}\mathrm{t}\text{'} \mathrm{which} \mathrm{makes} \mathrm{the} \mathrm{calculation} \\ \mathrm{easier}. \end{gathered}$$

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