Verified answer

Answer:

Given –

• The coordinates of the centre of the circle : (-3, 1.5) ➜ (x, y).
• The coordinates of one end of the diameter : (-3, y) ➜ (x1, y1).
• The coordinates of other end of the diameter : (x, -2) ➜ (x2, y2).

To Find –

• X and Y ?

Solution –

The centre of the circle is the midpoint of the diameter, hence we will use the midpoint formula.

Midpoint Formula : (x, y) = (x1 + x2)/2, (y1 + y2)/2.

For Finding x first,

➸ -3 = (x1 + x2)/2

➸ -3 = (-3 + x)/2

➸ -3 * 2 = -3 + x

➸ -6 = -3 + x

➸ -6 + 3 = x

➸ x = -3

For Finding y,

➸ 1.5 = (y1 + y2)/2

➸ 1.5 = (y + -2)/2

➸ 1.5 * 2 = y - 2

➸ 3.0 = y - 2

➸ y = 3 + 2

➸ y = 5

Hence, x = -3 and y = 5.

Verified answer

Given:

• The coordinates of the center of the circle: (-3, 1.5).
• The coordinates of the ends of the diameter: (-3, y) and (x, -2).

To find: The values of x and y.

Answer:

Since the coordinates of the centre of the circle is given, we'll use the mid-point formula.

Mid-point formula:

From the given points, we have:

Using them in the formula,

Equating the x coordinates,

Equating the y coordinates,

Therefore, the values of x and y are -3 and 5.