BablaKanchan
BablaKanchan BablaKanchan
  • 12-05-2022
  • Mathematics
contestada

11. Find the equation for the circle with center ​(−2​,−3​) and passing through ​(1​,5​).

11 Find the equation for the circle with center 23 and passing through 15 class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 12-05-2022

Answer:

(x +2)² + (y+3)² = 73

Use the distance formula to find radius:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]

[tex]\rightarrow \sf \sqrt{73}[/tex]

Eqaution of circle:

(x-h)² + (y-k)² = r²

(x-(-2))² + (y-(-3))² = (√73)²

(x +2)² + (y+3)² = 73

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