If the end points of a diameter of a circle are A(-2, 3) and B(4, -5) then the coordinates of its centre are

1. (2, -2)

2. (1, -1)

3. (-1, 1)

4. (-2, 2)

We know that,

Mid-point formula = $\Big(\dfrac{(x$1 + x2)}{2}, \dfrac{(y1 + y2)}{2}\Big)

Given A and B are end points of the diameter so by mid-point formula the coordinates of the centre of the circle are,

$\Rightarrow \Big(\dfrac{-2 + 4}{2}, \dfrac{3 + (-5)}{2}\Big) \\[1em] \Rightarrow \Big(\dfrac{2}{2}, \dfrac{-2}{2}\Big) \\[1em] \Rightarrow (1, -1).$

Hence, Option 2 is the correct option.