Question

Find the centre and the radius of the circle 2x
^2 +2y
^2 + 24 x + 30 y +18 = 0​

Answer 1

Answer:

》2x² + 2y² + 24x + 30y + 18 = 0

》x² + y² + 12x + 15y + 9 = 0

》 x² + 12x + 36 + y² + 15y + 225/4 = 36 + 225/4 - 9

》(x + 6)² + (y + 15/2)² = 333/4

》C ≡ (-6 , -15/2) & a = $\sf{\frac{\sqrt{333}}{2}}$