Question

The centre of the circle having end points of its one diameter as (–4, 2) and (4, –3), is ______.

Options

• \((0, -1)\)

• \((2, -1)\)

• \(\left(0, -\frac{1}{2}\right)\)

• \(\left(4, -\frac{5}{2}\right)\)

Answer 1

The centre of the circle having end points of its one diameter as (–4, 2) and (4, –3), is `underlinebb((0, -1/2)`.

Explanation:

The centre is the mid-point of the diameter:

$$\left(\frac{-4+4}{2}, \frac{2+(-3)}{2}\right) = \left(0, -\frac{1}{2}\right)$$