The equation of the locus of all points equidistant from the point (4, 2) and x-axis is

x^{2} + 8 x + 4 y - 20 = 0

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x^{2} + 8 x + 4 y + 20 = 0

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x^{2} - 4 y - 8 x + 20 = 0

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None of these

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Solution

The correct option is C $x^{2} - 4 y - 8 x + 20 = 0$

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