Find the locus of the midpoint of the chords of circle `x^(2)+y^(2)=a^(2)` having fixed length l.

Explanation

To find the locus of the midpoint of the chords of the circle \(x^2 + y^2 = a^2\) having a fixed length \(l\), we can follow these steps:

### Step 1: Understand the Circle and Chord
The given circle has the equation \(x^2 + y^2 = a^2\), where the center is at the origin (0,0) and the radius is \(a\). A chord of the circle can be defined by its endpoints, and we are interested in the midpoint of such chords.

**Hint:** Recall that the midpoint of a line segment can be found by averaging the coordinates of its endpoints.

### Step 2: Define the Midpoint
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