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Find the coordinates of a point A, wher...

Find the coordinates of a point A, where AB is the diameter of a circle whose centre is `(2,\ 3)` and `B` is `(1,\ 4)`.

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To find the coordinates of point A where AB is the diameter of a circle with center at (2, 3) and point B at (1, 4), we can use the midpoint formula. The midpoint of a line segment is the average of the coordinates of the endpoints. ### Step-by-Step Solution: 1. **Identify the given points:** - Center of the circle (midpoint) = \( C(2, 3) \) - Point B = \( B(1, 4) \) - Let the coordinates of point A be \( A(x_1, y_1) \). ...
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