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equation of a circle_Q

Authored by Donessa Maninggo

Mathematics

10th Grade

CCSS covered

Used 1+ times

equation of a circle_Q
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20 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write the equation at the origin with radius 6.  

x2 + y2 = 6
x2 + y2 = 36
x  + y = 6
x + y = 36

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

(x+1)² + (y-4)² = 4

(x+1)² + (y+4)² = 16

(x-1)² + (y-4)² = 16

(x+1)² + (y+4)² = 4

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the coordinates of the center and the radius of the circle with an equation:
(x + 7)2 + (y - 6)2 = 64 ?

Centre (7,-6)
Radius = 8 units
Centre (-7,6)
Radius = 64 units
Centre (-7,6)
Radius = 8 units
Centre (7,-6)
Radius = 64 units

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A circle has the equation  x2 + y2 - 12x + 8y + 3 = 0.  Use completing the square to write the equation in standard form.

(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which graph represents the circle:

x2 + (y - 6)2 = 9

A

B

C

D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of a circle with center
(7, 0) with radius 3. 

(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?

4
8
4√2
2√2

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