Find the orthogonal of the family of circles `x^(2) + y^(2) = 2ax` each of which touches the y-axis at origin.

Explanation

To find the orthogonal family of circles given by the equation \( x^2 + y^2 = 2ax \), where each circle touches the y-axis at the origin, we can follow these steps:

### Step 1: Differentiate the given equation
We start with the equation of the circle:
\[ x^2 + y^2 = 2ax \]
Differentiating both sides with respect to \( x \):
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