let any point p on x axis is (0,y) which is equidistant from a(5,-2) and b (-3,2) .find point on y axis
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Answer:
Let P(0,y) be any point on y-axis.
Let A(5,−2) and B(−3,2). Then,
PA=PB
PA
2
=PB
2
(5−0)
2
+(−2−y)
2
=(−3−0)
2
+(2−y)
2
25+4+y
2
+4y=9+4+y
2
−4y
8y=−16
y=−2
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