Question

the coordinates of the centre of a circle are (-3,1.5) if the ends of a diameter are -3,y) and (x,-2) . find X and Y

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Answer 1

Step-by-step explanation:

The coordinates of the other end of the diameter is (-6,7).

Step-by-step explanation:

Let the coordinates of the other end of the diameter be (x,y).

It is given that the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5).

The center is the midpoint of end points of a diameter.

Answer 2

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.

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