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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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