Find the locus of a point, such that the join of `(-5,1)a n d(3,2)` subtends a right angle at the moving point.

Explanation

To find the locus of a point such that the line segment joining the points A(-5, 1) and B(3, 2) subtends a right angle at the moving point P(x, y), we can follow these steps:

### Step 1: Determine the coordinates of points A and B
Let A = (-5, 1) and B = (3, 2).

### Step 2: Use the property of right angles
For the point P(x, y) to subtend a right angle at the line segment AB, the following condition must hold:
The vectors AP and BP must be perpendicular. This means that the dot product of vectors AP and BP must equal zero.
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