Directions: Do what is asked on each item and write the answer on the
blanks provided.
1. Determine whether P(2, -1) is a point that lies
inside, outside or on the circle x2 + y2 -4x - 4y -53 = 0.
2. Find the coordinates of the center and length of
the radius of x2 + y + 6)2 = 8.
3. Find the equation of the circle whose center is at
(-2, 6) and a the length of the radius is units.
4. True or False. The standard form of the equation
of the circle can be written to general form by completing the square.
5. True or False. The graph of the equation of the
form x2 + y2 + Bx + Cy + D = 0 is a point if the equation when converted to
standard form gives a zero radius.
6. True or False. Every circle can be represented in
the general form x2 + y2 + Bx + Cy + D = 0 but the graphs of equations of the
form
x² + y² +
+ Bx + Cy + D = 0 is not always a circle.
7. Determine whether x2 + y2 + 4x + 2y + 5 =0
represents a circle or not.
8. Write the equation (x - 8)2 + (y + 7)2 = 225 to
general form.
9. Transform x2 + y2 - 2x - 8y - 47 = 0 to standard
form.
10. Write the equation of a circle in general form if it
centered at (-3, 2) and passes through (4, -6)
11. Find the value of k to make x2 + y2 - 6x + 8y + 5
= kan equation of a circle.
12. Find the equations of the circles which are
concentric having centers at (-4,3) with radii 3 and 5, in standard and general
form.
