Question

If the co ordinates of end of diameter are (4,5) & (2,7) thane co ordinates of center of circle is

-6,-3

3,6

6,3

-3,-6​

Answer 1

6,3

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Answer 2

Step-by-step explanation:

Let the point be P(x,y)

Since the center of the circle is called the radius and radius is half of diameter. So using mid point formula,

$(x = \frac{x2 + x1}{2} )(y = \frac{y2 + y1}{2} )$

$(x = \frac{2 + 4}{2} )( y = \frac{7 + 5}{2} )$

$(x = \frac{6}{2} )(y = \frac{12}{2} )$

$(x = 3)(y = 6)$

Hence the coordinates of point P are 3 and 6 respectively.

Hence option b. is correct one