1.   The equation of a circle is 3x2 + 3y2 6x + 12y 24 = 0. Find its center and radius.
    A. (1, 2); 13 B. (1, 2);
    C. (1, 2); D. (1, 2); 13
    Hint

  2.   Write the equation of a circle that passes through the origin and has its center at (3, 2).
    A. (x + 3)2 + (y + 2)2 = 13
    B. (x 3)2 + (y + 2)2 = 10
    C. (x + 3)2 + (y + 2)2 = 5
    D. (x 3)2 + (y 2)2 = 13
    Hint

  3.   Write the equation of the circle that is tangent to the line with equation
x + y = 3 and has its center at (4, 1).
    A. (x + 4)2 + (y 1)2 = 18 B. (x 4)2 + (y + 1)2 = 18
    C. D.
    Hint

  4.   Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form.
    A. (x - 1) 2 + (y - 2) 2 = 4
    B. (x - 1) 2 + (y + 3) 2 = 4
    C. (x + 1) 2 + (y - 3) 2 = 4
    D. (x + 1)2 + (y - 2) 2 = 4
    Hint

  5.   Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4).
    A. (x - 3) 2 + (y - 2) 2 = 8
    B. (x + 3) 2 + (y - 2) 2 = 64
    C. (x - 3) 2 + (y - 2) 2 = 64
    D. (x + 3) 2 + (y + 2) 2 = 8
    Hint