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Question
The coordinates of the point on X-axis which are equidistant from the points (−3, 4) and (2, 5) are
Options
(20, 0)
(−23, 0)
- \[\left( \frac{4}{5}, 0 \right)\]
None of these
Solution
Let the point be A(a,0) be equidistant from the two given points P (−3, 4) and Q (2, 5).
So applying distance formula, we get,
`AP^2 = AQ^2`
Therefore,
`(a + 3)^2 + (-4)^2 = (a - 2)^2 + 5^2`
10a = 4
` a = 2/5`
Hence the co-ordinates of A are `(2/5 , 0)`
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