Parametric Equations of a Parabola
Category : JEE Main & Advanced
Parabola | \[{{y}^{2}}=4ax\] | \[{{y}^{2}}=-4ax\] | \[{{x}^{2}}=4ay\] | \[{{x}^{2}}=-4ay\] |
Parametric Co-ordinates | \[(a{{t}^{2}},2at)\] | \[(-a{{t}^{2}},2at)\] | \[(2at,a{{t}^{2}})\] | \[(2at,\ -a{{t}^{2}})\] |
Parametric Equations | \[x=a{{t}^{2}}\] \[y=2at\] | \[x=-a{{t}^{2}}\] \[y=2at\] | \[x=2at\] \[y=a{{t}^{2}}\] | \[x=2at\], \[y=-a{{t}^{2}}\] |
The parametric equations of parabola \[{{(y-k)}^{2}}=4a(x-h)\] are \[x=h+a{{t}^{2}}\] and \[y=k+2at\].
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