Find the equation of the circle which passes through the origin and cut off equal chords of `sqrt(2)` units from the lines `y=xa n dy=-xdot`

Explanation

To find the equation of the circle that passes through the origin and cuts off equal chords of length \(\sqrt{2}\) from the lines \(y = x\) and \(y = -x\), we can follow these steps:

### Step 1: Understand the Geometry
The lines \(y = x\) and \(y = -x\) intersect at the origin (0,0) and form a 45-degree angle with the x-axis. The circle will cut equal chords from these lines.

### Step 2: Identify the Center of the Circle
Since the circle passes through the origin and cuts equal chords from the two lines, the center of the circle must lie on the x-axis. We can denote the center of the circle as \( (h, 0) \).

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