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If the point (x;y) is equidistant from t...

If the point (x;y) is equidistant from the points `(a+b;b-a)` and `(a-b;a+b)` prove that `bx=ay`

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To prove that if the point (x, y) is equidistant from the points (a + b, b - a) and (a - b, a + b), then \( bx = ay \), we will use the distance formula. ### Step-by-Step Solution: 1. **Identify the Points**: Let \( P(x, y) \) be the point we are considering. The two points we are given are: - \( P_1(a + b, b - a) \) - \( P_2(a - b, a + b) \) ...
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