Q. 223.7( 3 Votes )

Find the point on

Answer :

Let P(x,0) be a point on X-axis and the other two points be A and B.


PA = PB


PA2 = PB2


(x - 2)2 + (0 + 2)2 = (x + 4)2 + (0 - 2)2


x2 + 4 - 4x + 4 = x2 + 16 + 8x + 4


-4x + 4 = 8x + 16


x = -1


P(-1,0)


OR


PR : QR = 2:1


By Section formula,



R (4/3, 3)


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