1.

Find the point on x-axis which is equidistant from the points (2,-2) and (-4,2)

Answer»

Let P(x,0) be a point on X-axis 

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)



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