Find the equation of the parabola that satisfies the given condit… - Vidyadip

Question

Find the equation of the parabola that satisfies the given conditions: Vertex (0, 0) Focus (3, 0)

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Answer

The vertex of the parabola is at (0, 0) and focus is at (3, 0),
$\Rightarrow$ y = 0 $\Rightarrow$ The axis of parabola is along x-axis
So the parabola is of the form $y^2 = 4ax$.
The required equation of parabola is
$y^2=4 \times 3 x \Rightarrow y^2=12 x$

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