Question

find the points on x-axis which is equidistant from P(2,-5)and Q(-2,9)​

Answer 1

Equidistant means the point should be mid-point.

Let the point be R.

$P = (x1 , y1) = (2 , - 5) \\ Q =(x2, y2) = ( - 2 , 9)$

$R = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} ) \\ \\ R = ( \frac{2 + ( - 2)}{2} \: , \: \frac{ - 5 + 9}{2} ) \\ \\ R = (\frac{2 - 2}{2} \: , \: \frac{ 4 }{2} ) \\ \\ R = (0, 2)$

The points are R = (0 , 2 )

Answer 2

Answer:

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