Question

) Find the center and radius of the circle with equation x2 + 6x + y2 - 4y = 12. a) o center is (-3, 2) and radius is 5 b) o center is (3, -2) and radius is 5 c) center is (3, -2) and radius is 2/3 center is (-3, 2) and radius is 2/3

Answer 1

1.AM x + 6x + y ² uy = 12. x ² + 6x + 9 + y ² - uy + 4 = 12.+9+4. adding is on both sides (x +37² + (9- 2)2 = 25 : it is in the form of (x-h) & (y-K) ² (8) ². Chik)= (-3, 2) & 8= 5. .: center is (-3,2) and radius is 5. focus (-3, 2 and verter (-3,0).. Equation of the parabola in varten form y = a (x-h) tk. veater : (-3,0) = (h,t); focus= (h, ktua) = (-33) y = 22 Cx-(-3)) to . . § (143) - By= (2+3)?)