Quiz about Conics - Circles

Question 1

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

Accepted Answer

11

Answer

242

Answer

121

Answer

22

Question 2

What is the equation of a circle with radius 2 and center (3, 4)?

Accepted Answer

(x-3)² + (y-4)² = 4

Answer

(x+3)² + (y+4)² = 2

Answer

(x-3)² + (y-4)² = 2

Answer

(x+3)² + (y+4)² = 4

Question 3

What is the equation of a circle with radius 4 and center (0, 8)?

Accepted Answer

x² + (y-8)² = 16

Answer

(x-8)² + y² = 4

Answer

x² + (y-8)² = 4

Answer

x² + (y+8)² = 16

Question 4

Find the graph to this equation

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 5

Find the graph to this equation

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Which of these is not a conic section?

Accepted Answer

Rectangle

Answer

Ellipse

Answer

Hyperbola

Answer

Parabola

Question 7

Which is the radius of the circle with equation

(x - 2)² + (y + 4)² = 9

Accepted Answer

3

Answer

81

Answer

9

Answer

4.5

Question 8

Which is the center of the circle with the equation

(x - 3)² + (y + 5)² = 16

Accepted Answer

(3, -5)

Answer

(3, 5)

Answer

(-3, 5)

Answer

(5, -3)

Question 9

What is the standard equation of a circle?

Accepted Answer

(x-h)² + (y-k)² = r²

Answer

(x-k)² + (y-h)² = r²

Answer

(x+h)² + (y+k)² = r²

Answer

(k-x)² + (h-y)² = r²

Question 10

What does (h,k) stand for in the standard circle equation?

Accepted Answer

(h,k) is the center of the circle

Answer

(h,k) is a point on the circle.

Answer

(h,k) is a point that we guess and find

Answer

(h,k) is the distance of the circle

Question 11

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

Accepted Answer

Center (4,3)
Radius = 5 units

Answer

Center (4,3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 25 units

Answer

Center (-4,-3)
Radius = 5 units

Question 12

What is the equation of the circle that passes through (-15, 10) and has a center at (-16, 11)?

Accepted Answer

$$\left(x+16\right)^2+\left(y-11\right)^2=2$$

Answer

$$\left(x+16\right)^2+\left(y-11\right)^2=4$$

Answer

$$\left(x+11\right)^2+\left(y-16\right)^2=4$$

Answer

$$\left(x+13\right)^2+\left(y-17\right)^2=2$$

Question 13

What is the center and radius given the equation, 8x+x²-2y+y²-64=0?

Accepted Answer

Center: (-4, 1), Radius: 9

Answer

Center: (4,1), Radius: 9

Answer

Center: (1,-4), Radius: 81

Answer

Center: (-4, 1), Radius: 81

Question 14

What is the equation of the circle given its center at (0, 0) and a radius of $$\sqrt{2}$$ ?

Accepted Answer

$$x^2+y^2=2$$

Answer

$$x^2+y^2=\sqrt{2}$$

Answer

$$x^2+y^2=\sqrt{-2}$$

Answer

$$x^2+y^2=-2$$

Question 15

What is the equation of the circle if its diameter is 10 units and its center is at $$(3,\ 2)$$ ?

Accepted Answer

$$\left(x-3\right)^2+\left(y-2\right)^2=25$$

Answer

$$\left(x-3\right)^2+\left(y-2\right)^2=5$$

Answer

$$\left(x+2\right)^2+\left(y+3\right)^2=10$$

Answer

$$\left(x-2\right)^2+\left(y-3\right)^2=100$$

Question 16

Is the red line a radius or diameter of the circle?

Accepted Answer

Radius

Answer

Diameter

Question 17

What is the radius?

Accepted Answer

18

Answer

72

Answer

38

Answer

14

Question 18

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

Accepted Answer

Circle; Center (3, - 5) ; radius = 5

Answer

Ellipse; center (3, -5)

Answer

Ellipse; Center (-3,  5) ; radius = 5

Answer

Circle; Center (3, - 5) ; radius = 25

Question 19

In the equation (x-3)²+(y-2)²=16, the radius of the circle is...

Accepted Answer

4

Answer

16

Answer

32

Answer

3

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