Write the coordinates of a point p on x axis which is equidistant form

1.	Write the coordinates of a point p on x axis which is equidistant form the point A(-2,0)and B (6,0)
Answer» Pagal Let A(-2, 0) and B(6, 0) be the given points.Let P(x, 0) be the point on x -axis\xa0such that PA = PBPA = PBPA2 = PB2(x +\xa02)2 + (0 - 0)2 = (x -\xa06)2 + (0 - 0)2{tex}\\Rightarrow{/tex}\xa0x2 + 4 + 4x = x2 + 36\xa0-\xa012x{tex}\\Rightarrow{/tex}\xa016x = 32{tex}\\Rightarrow{/tex}\xa0x = 2{tex}\\therefore{/tex}\xa0The point\xa0on x-axis is (2, 0).

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