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# Parabolas and Circles Worksheet

Parabolas and Circles Worksheet
• Page 1
1.
Find the center and radius of the circle with the equation ($x$ - 3)2 + $y$2 = 16.
 a. (0, - 3) b. (3, 0) c. (- 3, 0) d. (0, 3)

#### Answer: (b)

Correct answer : (2)
2.
Find the radius of the circle with the equation $x$2 + 2$x$ + $y$2 + 4$y$ - 11 = 0

#### Answer: (b)

Correct answer : (0)
3.
What is the center of the circle whose equation is $x$² + $y$² - 6$x$ - 8$y$ - 6 = 0?
 a. (3, 4) b. (- 3 , 4) c. (- 3, - 4) d. (4, 3)

#### Answer: (a)

Correct answer : (1)
4.
What does the equation $x$² + $y$² - 2$x$ + 4$y$ + 1 = 0 represent?
 a. hyperbola b. ellipse c. circle d. parabola

#### Answer: (c)

Correct answer : (3)
5.
Find the coordinates of the center of the circle whose equation is ($x$ - 5)² + ($y$ + 5)² = 81.
 a. (5, 5) b. (- 5, - 5) c. (- 5, 5) d. (5, - 5)

#### Answer: (d)

Correct answer : (4)
6.
Which of the following represents the equation of a circle?
 a. $x$² + 2$y$² = 0 b. $x$² + $y$² = 25 c. $x$² - $y$² = 25 d. $x$² - $y$² = 0

#### Answer: (b)

Correct answer : (2)
7.
Identify the standard equation of the circle with center (8, - 5) and radius 9.
 a. ($x$ + 8)² + ($y$ - 5)² = 81 b. ($x$ + 8)² + ($y$ + 5)² = 81 c. ($x$ - 8)² + ($y$ - 5)² = 81 d. ($x$ - 8)² + ($y$ + 5)² = 81

#### Answer: (d)

Correct answer : (4)
8.
Find the equation of a circle, whose center is at the origin and diameter is 26 units.
 a. $x$2 + $y$2 = 676 b. $x$2 + $y$2 = 169 c. $x$2 - $y$2 = 676 d. $x$2 - $y$2 = 169

#### Answer: (b)

Correct answer : (2)
9.
Write the standard form of the equation of a circle with center (- 2, 5) and radius 8 units.
 a. ($x$ - 2)2 + ($y$ + 5)2 = 64 b. ($x$ + 2)2 + ($y$ - 5)2 = 8 c. ($x$ + 2)2 + ($y$ - 5)2 = 64 d. ($x$ + 2)2 + ($y$ + 5)2 = 64

#### Answer: (c)

Correct answer : (3)
10.
If P(- 18, 0) and Q(18, 0) are the endpoints of the diameter of a circle, then what is the equation of the circle?
 a. $x$2 + $y$2 = 324 b. $x$2 + $y$2 = 18 c. $x$2 + $y$2 = 0 d. $x$2 + $y$2 = 36

#### Answer: (a)

Correct answer : (1)

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