1.   Write the standard form of the equation of the circle that is tangent to the y-axis and has its center at (5, –3).
    A. (x + 5)2 + (y – 3)2 = 25
    B. (x – 5)2 + (y + 3)2 = 25
    C. (x + 5)2 + (y – 3)2 = 5
    D. (x – 5)2 + (y + 3)2 = 5
    Hint

  2.   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); 13 D. (–1, 2);
    Hint

  3.   Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6).
    A. x2 + y2 + 2x – 4y – 20 = 0
    B. x2 + y2 + 2x + 4y – 20 = 0
    C. x2 + y2 – 2x + 4y – 20 = 0
    D. x2 + y2 – 2x – 4y + 20 = 0
    Hint

  4.   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

  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 = 8
    D. (x + 3) 2 + (y - 2) 2 = 64
    Hint



Glencoe
The McGraw-Hill Companies