The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

Question

Lesly Johnson

Mathematics

22 February, 22:57

The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

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Abbigail Sexton · Answer 1

The other form of circle equation is (x-a) 2 + (y-b) 2 = r2. a and b is the coordinate of the center and r is radius. So the equation is x2 + (y-4) 2=9. Change it to the general form is x2+y2-8y+7=0. So A=1, B=1, C=0, D=-8 and E=7.