Question

A circle is defined by the equation given below.
x2 + y2- x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
A (6, -1), 4 units
B. (1, 1), 4 units
C. (, 1), 2 units
d. (, -1), 2 units​

Answer 1

Hello

x² + y² - x - 2y - 11/4 = 0 

(x²-x) +(y²-2y)-11/4 = 0

(x-0.5x)²-(1/2)² + (y-1)² -1² -11/4=0

(x-0.5)² +(y-1)² = (1/4)+1+(11/4)

                       =  (1/4)+(4/4)+(11/4)

(x-0.5)² +(y-1)² =4²

Answer D the center of the circle is : A (1/2, 1),the length of the radius 2 units

Answer 2

Answer:

I got answer choice A: (1/2, 1), radius: 2 units

Hope this is helpful:)

Step-by-step explanation: