Exercises H-I: (Sec Examples H and 13). If possible, write the general equation of a circle in standard form by completing the square and identify the center and radius. Graph the following circles: 1. x^2 + y^2 + 6x - 4y + 4 = 0 2. x^2 + y^2 + 6x - 8y + 9 = 0 3. x^2 + y^2 + 8x - 6y + 16 = 0 4. x^2 + y^2 - 12x + 10y = -25 5. 4x^2 + 4y^2 - 16x - 19 = 0 6. 9x^2 + 12y^2 - 18y - 3 = 0 7. x^2 + 2x + 7y - 6x + 4 = 0 8. x^2 + 4x + 7y - 8x + 32 = 0
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Write the equation in standard form: $(x-h)^{2}+(y-k)^{2}=r^{2}$. Then if possible identify the center and radius of the circle. If the equation represents a degenerate case, give the solution set. (See Examples $3-4)$ $$ x^{2}+y^{2}-4 x-18 y+89=0 $$
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