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Equation of Circles (Repeat)

Authored by LAY HONG THIO

Mathematics

4th Grade

CCSS covered

Used 22+ times

Equation of Circles (Repeat)
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a circle with centre (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

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Centre (4,3), Radius = 25 units

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

Centre (4,3), Radius = 5 units

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

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which circle is identical to x2 + y2 - 4x + 12y - 8=0?

(x + 2)2 + (y - 6)2 = 48

(x - 2)2 + (y + 6)2 = 48

(x - 6)2 + (y - 2)2 = 48

(x + 2)2 + (y - 6)2 = 48

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The end-points of the diameter of a circle are (3,1) and (9,5).

What is the equation of the circle?

(x − 3)2 + (y − 2)2 = 1

(x − 3)2 + (y − 2)2 = 45

(x − 5)2 + (y − 9)2 = 13

(x − 6)2 + (y − 3)2 = 13

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The centre of a circle is (−8, 3) and (2, −5) lies on the circle.

Find the equation of the circle.

(x + 8)2 + (y − 3)2 = 144

(x − 8)2 + (y + 3)2 = 144

(x + 8)2 + (y − 3)2 = 164.

(x − 8)2 + (y + 3)2 = 164

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find an equation of the circle that is tangent to both the x and y axes, with a radius of 4 and whose centre is located in the second quadrant.

(x + 4)2 + (y - 4)2 = 16

(x - 4)2 + (y + 4)2 = 16

(x + 4)2 + (y - 4)2 = 4

(x - 4)2 + (y + 4)2 = 4

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The equation of a circle is given by x 2 + 4x + y 2 - 8y = 5.

Is the point A(-3 , 8) inside, outside or on the circle?

inside

outside

on the circumference

Tags

CCSS.HSG.GPE.A.1

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