Equation of Circle Standard Form and Complete the Square

Equation of Circle Standard Form and Complete the Square

10th Grade

20 Qs

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Equation of Circle Standard Form and Complete the Square

Equation of Circle Standard Form and Complete the Square

Assessment

Quiz

Mathematics

10th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the equation of the circle in standard form: x+ y+ 6x - 12y + 20 = 0

(x-3)2 + (y+6)2 = 25

(x+3)2 + (y-6)2 = 25

(x-3)2 + (y+6)2 = 45

(x+3)2 + (y-6)2 = 5

2.

MULTIPLE CHOICE QUESTION

1 min • 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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Complete the square to determine the equation of the circle in standard form: x+ y+ 6x - 12y + 20 = 0

(x-3)2 + (y+6)2 = 25

(x+3)2 + (y-6)2 = 25

(x-3)2 + (y+6)2 = 45

(x+3)2 + (y-6)2 = 5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(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

1 min • 1 pt

Write the standard form of the circle by completing the square: x^2 + y^2 +10y = 39

x2 + (y+5)2 = 49

x2 + (y+5)2 = 64

(x+5)2 + y2 = 61

(x+5)2 + y2 = 100

6.

MULTIPLE CHOICE QUESTION

1 min • 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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the circle with the given information?

A

B

C

D

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