P is the point on the y-axis which is equidistant from A(-5,-2) and B(3, 2), then PA = ___ cm.
Given, A(-5, -2), B(3, 2).
Let, the coordinates of P be (0, y)
We have,
PA = PB
⇒PA2=PB2⇒(−5−0)2+(−2−y)2=(3−0)2+(2−y)2⇒25+4+y2+4y=9+4+y2−4y⇒8y=−16⇒y=−2
Therefore coordinates of P is (0, -2)
PA=√(−5−0)2+(−2+2)2 =√25 =5 cm