Question 1

The general equation of the circle is obtained by

Accepted Answer

expanding the standard equation of the circle

Answer

substituting the given to the equation

Answer

completing the square of the terms in x and the terms in y

Answer

all of it

Question 2

The center of the circle is (h, k) where h=2 and k=5, r=4. Find the general equation of the circle given its center and radius.

Accepted Answer

$x^2$+$y^2$-4x-10y+13=0

Answer

$x^2$+$y^2$+2x+5y+13=0

Question 3

The measure of an angle formed by two intersecting tangents is one-half the sum of the                    measures of the intercepted arc.

Accepted Answer

false

Answer

true

Question 4

Using the figure, what is the measure of angle BEC if the measure of arc BC is 50 and the arc AD is 110?

Accepted Answer

80

Answer

60

Answer

180

Answer

30

Question 5

A quadrilateral is inscribed in a circle, angles ABC and DBE are opposite angles.  Determine the measure of angle ABC if angle DBE is 70 degrees.

Accepted Answer

110

Answer

50

Answer

35

Answer

100

Question 6

The distance between points A and C is 16.

Accepted Answer

true

Answer

false

Question 7

The measure of an angle formed by two intersecting tangents is one-half the difference of the
measures of the intercepted arc.

Accepted Answer

true

Answer

false

Question 8

Determine the center and radius of the given figure.

Accepted Answer

(5, 5); r=4

Answer

(5, 4); r=10

Answer

(4, 5); r=2

Answer

(5, 5); r=1

Question 9

Find the center and radius of the equation $(x-3)^2+(y-4)^2= 16$.

Accepted Answer

(3, 4) ; r = 4

Answer

(-3, -4); r = 16

Answer

(3, 4) ; r = 16

Answer

-3, -4); r = 4

Question 10

The standard equation of the circle $(x+7)^2$+$(y-1)$$^2$= $16$, determine its general equation.

Accepted Answer

$x^2$+$y^2$+14x-2y+34=0

Answer

$x^2$+$y^2$-14x-y+34=0

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