13. The line y=mx+c intersects the circle x^2+y^2=a^2 at the most of __________ points.

Select one:

a. 1

b. 2

c. 3

d. 4

14. Write the equation of the circle in general form that will satisfy the given condition:The line segment joining (0,7) and (-6,-3) is a diameter.
Select one:
a. x² + y² - 6x - 3y + 21 = 0
b. x² + y² - 3x - 4y - 21 = 0
c. x² + y² + 6x - 4y - 21 = 0
d. x² + y² + 6x - 4y - 7 = 0

15. Write the equation of the circle in general form that will satisfy the given condition: The circle is tangent to the line 3x - 4y = 24 , and the center is at (1,0).
Select one:
a. x² + y² - 2x - 224 = 0
b. x² - y² - 2x + 224 = 0
c. x² + y² - 2x + 224 = 0
d. x² + y² + 2x + 224 = 0
e. x² + y² + 2x - 224 = 0

16. Identify the radius (in units) of the circle x2 + y2 — 6x =7.

Select one:
a. 4
b. 5.5
c. 6.6
d. 6

17. Write the equation of the circle in general form that will satisfy the given condition:The center is at (0,-9) and the circle passes through (8,0).
Select one:
a. x² - y² + 9y - 64 = 0
b. x² + y² + 18y - 64 = 0
c. x² + y² - 18y - 9 = 0
d. x² + 3y² + 18y + 64 = 0

18. Write the equation of the circle in general form that will satisfy the given condition: The circle is tangent to both axes and the radius at the third quadrant is 2 units.
Select one:
a. x² + y² + 4x + 4y + 4 = 0
b. x² + y² - 4x + 4y + 4 = 0
c. x² + y² + 4x - 4y + 4 = 0
d. x² + y² + 4x + 4y - 4 = 0
e. x² - y² + 4x + 4y + 4 = 0

19. What is the radius of the circle x2 + y2 – 6y = 0?

Select one:
a. 2
b. 3
c. 4
d. 5
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