Find the point on `y`-axis which is equidistant from the points `(3,1,2)a n d(5,5,2)dot`

Explanation

To find the point on the y-axis that is equidistant from the points \( A(3, 1, 2) \) and \( B(5, 5, 2) \), we can follow these steps:

### Step 1: Define the point on the y-axis
A point on the y-axis can be represented as \( P(0, y, 0) \). Here, \( x = 0 \) and \( z = 0 \) since it lies on the y-axis.

### Step 2: Calculate the distance from point P to point A
The distance \( d_1 \) from point \( P(0, y, 0) \) to point \( A(3, 1, 2) \) can be calculated using the distance formula in 3D:
\[
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