Deriving and using the equation of a circle

Deriving and using the equation of a circle

9th - 12th Grade

20 Qs

quiz-placeholder

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Deriving and using the equation of a circle

Deriving and using the equation of a circle

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the center of the circle  x22x+y2+10y+17=0x^2-2x+y^2+10y+17=0  

(5,-1)

(-5,1)

(1,-5)

(-1,5)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is point A(-3 , 8) inside, outside or on the circle whose equation is given by

x 2 + 4x + y 2 - 8y = 5

Inside the circle

Outside the circle

On the circle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which is the equation of this circle?

None of these

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Change the following equation to standard form   y2+x2+4x16y+160=416y^2+x^2+4x-16y+160=416  

 (x+2)2+(y8)2=324\left(x+2\right)^2+\left(y-8\right)^2=324  

 (x+2)2+(y8)2=256\left(x+2\right)^2+\left(y-8\right)^2=256  

 (x8)2+(y+2)2=324\left(x-8\right)^2+\left(y+2\right)^2=324  

 (x+8)2+(y2)2=256\left(x+8\right)^2+\left(y-2\right)^2=256  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
(x+2)2 + (y+3)2 = 49
(x+2)2 + (y+3)2 = 13
(x-2)2 + (y-3)2 = 49
(x-2)2 + (y-3)2 = 13

6.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

49

2401

98

7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The equation of a circle is given by  x2+y26x+9y 18=0x^2+y^2-6x+9y\ -18=0 . What is the center and radius of the circle

Center (3,-4.5) radius 6.9

Center (3, -4.5) radius 7

Center (-3, 4.5) radius 6.9

Center (-3, 4.5) radius 47.25

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