The equation of the circle passing through the foci of the ellipse

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The equation of the circle passing through the foci of the ellipse x216+y29=1\frac{x^2}{16} + \frac{y^2}{9} = 1 , and having centre at (0,3)(0, 3) is (1) x2+y2−6y−7=0x^2 + y^2 - 6y - 7 = 0 (2) x2+y2−6y+7=0x^2 + y^2 - 6y + 7 = 0 (3) x2+y2−6y−5=0x^2 + y^2 - 6y - 5 = 0 (4) x2+y2−6y+5=0x^2 + y^2 - 6y + 5 = 0

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