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Find the equation of the parabola if its...

Find the equation of the parabola if its vertex is at `(0,0)`, passes through `(5,2)` and is symmetric w.r.t. y-axis.

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Let vertex `-=(0,0)` and equation of parabola symmetric to y-axis be `x^(2)=4ay`
It passes through the point (5,2).
`:." "25=4a(2)`
`rArr" "4a=(25)/(2)`
Therefore, equation of parabola is `x^(2)=(25)/(2)y`.
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