Question

find the center and radius of current 3x+3y-5x-6y+4=0​

Answer 1

Answer:

-2x-3y+4=0

take center 3y and radius 4

Answer 2

Answer:

√13/6   ; (5/6 , 1)

Step-by-step explanation:

   3x²+3y²-5x-6y+4 = 0

or, x² + y² -(5/3)x - 2y + (4/3) = 0

here, 2g = (-5/3)                               ;   2f = -2                 ;  c = 4/3

     or, g  =  -5/6                               or,  f = (-1)

∴radius = √{g²+f²-c} = √[(-5/6)²+(-1)²-4/3]

                                  = √[{(25+36)/36} - (4/3)]

                                  = √(61/36 - 48/36) = √13/36 = √13/6

∴center = (-g,-f) = (5/6,1)