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3. Which of the following is the 1 point
equation of a circle in general
form if the center is at (1, 2) and
radius of 5 units? *
A. x^2 + y^2 + 2x + 4y - 30 = 0
B. X^2 + y^2 + 2x + 4y - 20 = 0
Ο Ο Ο Ο
O C.x^2 + y^2 - 2x - 4y - 30 = 0
O D. x^2 + y^2 - 2x - 4y - 20 = 0​


Sagot :

Answer:

D. x² + y² -2x -4y - 20 = 0

Step-by-step explanation:

center is at (1, 2) and radius of 5 units

(x-h)² + (y-k)² = r²

(x-1)² + (y-2)² = 5²

(x-1)(x-1) + (y-2)(y-2) = 25

x² -2x +1 + y² -4y +4 = 25

x² -2x + y² -4y +4 + 1 - 25 = 0

x² -2x + y² -4y +5 - 25 = 0

x² -2x + y² -4y - 20 = 0