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assume any point on x axis say (x,0)........
this point is equidistant from given points that means............((x-7)(square)+(0-6)(square))root=((x+3)(square)+(0-4)(square))root
on solving....x(square)+49-14x+36=x(sq)+9+6x+16.........
equating,,,,,,,85-25=20x
60=20x
x=3........so (3,0) is the requiredpoint..............