If Q(0, 1) is equidistant from `P(5,\ 3)`and R(x, 6), find the values of x. Also find the distances QR and PR.

Explanation

To find the value of \( x \) such that point \( Q(0, 1) \) is equidistant from points \( P(5, 3) \) and \( R(x, 6) \), we will use the distance formula and set the distances equal to each other.

### Step 1: Set up the equation for distances
Since \( Q \) is equidistant from \( P \) and \( R \), we have:
\[ PQ = QR \]
This can be expressed in terms of the distance formula:
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