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The equation of the parabola whose focus is the point (2, 3) and directrix is the line x – 4y + 3 = 0 is ___________ .

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Using the definition of parabola, we have

Squaring, we get

17(x2 + y2 – 4x – 6y + 13) = x2 + 16y2 + 9 – 8xy – 24y + 6x

or, 16x2 + y2 + 8xy – 74x – 78y + 212 = 0

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