find the point on the x-axis which is
distant from AC-3, 4) and B (1,-4).
Ans. 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 from points A and B is (-1,0).
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