Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
To obtain this form use the method of completing the square.
Given
x² + y² - 6x + 14y = 142
Collect the x and y terms together
x² - 6x + y² + 14y = 142
add (half the coefficient of both x and y terms )² to both sides
x² + 2(- 3)x + 9 + y² + 2(7)y + 49 = 142 + 9 + 49
(x - 3)² + (y + 7)² = 200 → A
