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Question

P is the point on the y-axis which is equidistant from A(-5,-2) and B(3, 2), then PA = ___ cm.

A
2
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B
6
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C
3
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D
5
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Solution

The correct option is D 5

Given, A(-5, -2), B(3, 2).
Let, the coordinates of P be (0, y)
We have,
PA = PB
PA2=PB2(50)2+(2y)2=(30)2+(2y)225+4+y2+4y=9+4+y24y8y=16y=2

Therefore coordinates of P is (0, -2)

PA=(50)2+(2+2)2 =25 =5 cm


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