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Trigonometry
Question

Find an equation for the curve traced by the poin...

Find an equation for the curve traced by the point \(P ( x , y )\) if the distance from \(P\) to the vertex of the parabola \(x ^ { 2 } = 4 y\) is twice the distance from \(P\) to the focus. Identify the curve.

Answer

\(3 x ^ { 2 } + 3 y ^ { 2 } - 8 y + 4 = 0\)

Solution
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