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Find the coordinates of a point on y axi...

Find the coordinates of a point on y axis which are at a distance of `5sqrt(2)`from the point `P (3, 2, 5)`.

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To find the coordinates of a point on the y-axis that is at a distance of \(5\sqrt{2}\) from the point \(P(3, 2, 5)\), we can follow these steps: ### Step 1: Identify the coordinates of the point on the y-axis A point on the y-axis can be represented as \(A(0, y, 0)\), where \(y\) is the unknown coordinate we need to find. ### Step 2: Use the distance formula The distance \(AP\) between points \(A(0, y, 0)\) and \(P(3, 2, 5)\) can be calculated using the distance formula: \[ ...
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