13. Given that {x}^(2) + {y}^(2) + 10y + 16 = 0 and {(x - 3)}^(2) + {y}^(2) = 1 are two circles on the same plane. Find: a) the coordinates of the center and the radius for each…

Question

13. Given that


`{x}^(2) + {y}^(2) + 10y + 16 = 0`
and

`{(x - 3)}^(2) + {y}^(2) = 1` are two circles on the same plane. Find:
a) the coordinates of the center and the radius for each circle.
b) the equation of the straight line joining the center of both circles.​

Answer 1

step by step explanation:

`\mathfrak{x}^(2)+{y}^(2)+16=0`

=[x2+16=0x26]

=[2x{y}^2{16}~0]

=[4×{y}^0{16}]

=[32x{y}^x]