If the equation represents a circle

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

Problem

If the equation ax2+(2−b)xy+3y2−6bx+30y+6b=0ax^2+(2-b)xy+3y^2-6bx+30y+6b=0 represents a circle, then a2+b2a^2+b^2 is (1) 55 (2) 1313 (3) 2525 (4) 4141

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