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As both the points lie on the x-axis and a point equidistant to them lying on the x-axis is asked, just take (A+B)/2.
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The point on x-axis which is equidistant from points A (-1, 0) and B(5, 0) is. ⇒12x=24⇒x=2.
So, the required point is P(2, 0)
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