Any point on the x-axis is (x, 0)
According to the given condition,
Distance between (x, 0) and (7, 6) = Distance between (x, 0) and (–3, 4)
⇒ \(\sqrt{(x-4)^2+(0-6)^2}\) = \(\sqrt{(x-3)^2+(0-4)^2}\)
⇒ \(\sqrt{x^2-14x+49+36}\) = \(\sqrt{x^2-6x+9+16}\)
⇒ x2 – 14 x + 85 = x2 + 6x + 25 ⇒ 60 = 20x ⇒ x = 3
∴ The required point is (3, 0).
