Q. 53.8( 49 Votes )

# Find the point on

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
.....(1)

As the point is on the x = axis it is of the form (x,0)

Distance from point P = =

Distance from point Q = =

As the two points are equidistant from (x,0)

Squaring both sides

(2-x)2 + 25 = (2 + x)2 + 81

Expanding and simplifying

-4x + 25 = 4x + 81

8x = -56

x = -7

Hence the point is (-7,0)

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