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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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:
Given –
To Find –
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:
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.