Question

find the point on the x-axis which is equidistant from A(-3,4) and B(1,-4)​

Answer 1

Step-by-step explanation:

Let point C be on the X-axis which is equidistant from points A and B. Point C lies on X-axis.  ∴ its y co-ordinate is 0. Let C = (x, 0)  C is equidistant from points A and B.  ∴ AC = BC ∴ (x + 3)2 + (-4)2 = (x- 1)2 + 42  ∴ x2 + 6x + 9 + 16 = x2 – 2x + 1 + 16  ∴ 8x = – 8  ∴ x = – 8/8 = -1 The point on X- axis which is equidistant form points A and B is (-1, 0).Read more on Sarthaks.com - https://www.sarthaks.com/855713/find-the-point-on-the-x-axis-which-is-equidistant-from-a-3-4-and-b-1-4

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