1.

Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).

Answer» Correct Answer - P(2, 0)
Let the required point be P(x, 0). Then,
`PA^(2) = PB^(2) rArr (x+1)^(2) + (0-0)^(2) = (x-5)^(2) + (0-0)^(2)`
`rArr x^(2) +1 +2x = x^(2) + 25 -10x`
`rArr 12x = 24 rArr x = 2`
`therefore` the required point is P(2, 0).


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