Find the point of the y-axis that is equidistant from (5,-2) and (-3,2).

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(0,-2)

(-2,0)

(0,0)

(0,-1)

answer is A.

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Detailed Solution

Let the point be P(0,y). Here the x coordinate is 0 because the point is on the y-axis.
Distance from point A(5,-2) and P(0,y)
${"mathml":"<math class="image_resized" style="width:224px;height:56px"><span style="font-family:$ Distance from point B(-3,2) and P(0,y).
${"mathml":"<math class="image_resized" style="width:224px;height:56px"><span style="font-family:$ Since P is equidistant from both A and B, equate both the distances
${"mathml":"<math class="image_resized" style="width:230px;height:24px"><span style="font-family:$ Squaring on both sides,
${"mathml":"<math class="image_resized" style="width:226px;height:126px"><span style="font-family:$ Hence the point is (0,-2)

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