Find the point on the X-axis which is equidistant from (2, –5) and (–2, 9).
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Answer:
The point is on the x axis. Hence we can assume the coordinate of the point as (h,0).
Now the point is equidistant from (2,-5) and (-2,9).
So
Simplifying this we get
Or 8h = -56 or h= -7
Hence the point is (-7,0) which is equidistant from (2,-5) and (-2,9).
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