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Let the circle x^(2) + y^(2) + alpha x + beta y + 5 = 0meets the rectangular hyperbola xy = c^(2) at four points A, B, C , D . The equation of the circumcircle of the triangle formed by joining the orthocentres of the triangles ABC, ABD and ACD is , x^(2) + y^(2) + 2gx + 2fy + k = 0. If alpha + beta= 6 , then the value of (g + f + k), is ________ |
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