Mathematics, 17.03.2021 23:50 hrcatena

A circle passes through the points A(-2, 3) and B(7, 6). It is given that the centre G of the circle lies on the line x-y + 8 = 0. Denote the coordinates of G by (h, k).
(a) (i) Express k in terms of h.
(ii) Hence, find the coordinates of G.
(b) Find the equation of the circle.

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A circle passes through the points A(-2, 3) and B(7, 6). It is given that the centre G of the circle lies on the line x-y + 8 = 0. Denote the coordinates of G by (h, k).(a) (i) Express k in terms of h.(ii) Hence, find the coordinates of G.(b) Find the equation of the circle.​

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A circle passes through the points A(-2, 3) and B(7, 6). It is given that the centre G of the circle lies on the line x-y + 8 = 0. Denote the coordinates of G by (h, k).
(a) (i) Express k in terms of h.
(ii) Hence, find the coordinates of G.
(b) Find the equation of the circle.