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Let (a, 0) be the point on the x axis that is equidistant from the points (7, 6) and (3, 4).
On squaring both sides, we obtain
a2 – 14a + 85 = a2 – 6a + 25
⇒ –14a + 6a = 25 – 85
⇒ –8a = –60
Thus, the required point on the x-axis is.
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