Question

In the coordinate plane , the points (-3,2) and (7,-2) are the endpoints of a diameter of a circle. what are the coordinates of the center circle

Answer 1

The centre of the circle will be the midpoint of the two coordinates


`\text {Midpoint = } \bigg( (X_1 + X_2)/(2) , (Y_1 + Y_2)/(2) \bigg)`


`\text {Midpoint = } \bigg( (-3 + 7)/(2) , (2+ (-2))/(2) \bigg)`


`\text {Midpoint = } \bigg( (4)/(2) , (0)/(2) \bigg)`


`\text {Midpoint = } \bigg( 2, 0 \bigg)`

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Answer: Coordinate of the centre of the circle = (2, 0)
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