The co-ordinate of the focus of the parabola described parametrically by x=5t2+2, y=10t+4 is

Question

The co-ordinate of the focus of the parabola described parametrically by $x = 5 t^{2} + 2, y = 10 t + 4$ is

Smart Achievers · Accepted Answer

(2)

$Equation of parabola x = 5 t^{2} + 2, y = 10 t + 4$

$t^{2} = \frac{x - 2}{5}, t = \frac{y - 4}{10}$ $\Rightarrow \frac{x - 2}{5} = {(\frac{y - 4}{10})}^{2}$ $\Rightarrow {(y - 4)}^{2} = 20 (x - 2)$

$focus (7, 4)$

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