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Understanding Circles in Conic Sections

Understanding Circles in Conic Sections

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formal definition of a circle?

A set of points in space equidistant from a fixed point

A set of points in a plane equidistant from a fixed point

A set of points in a plane equidistant from a line

A set of lines in a plane equidistant from a fixed point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the standard form of a circle's equation, what does the term 'h' represent?

The radius of the circle

The diameter of the circle

The x-coordinate of the center

The y-coordinate of the center

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the radius from the equation (x + 3)^2 + (y - 5)^2 = 7?

The radius is 5

The radius is 7

The radius is 3.5

The radius is the square root of 7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a circle has a center at (2, -1) and a radius of 3, what is its equation?

(x + 2)^2 + (y - 1)^2 = 9

(x - 2)^2 + (y - 1)^2 = 3

(x - 2)^2 + (y + 1)^2 = 9

(x + 2)^2 + (y + 1)^2 = 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a circle given its equation?

Calculate the diameter

Plot the radius

Plot the center

Draw the circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of a circle with center (1, -2) and radius 4?

(x - 1)^2 + (y - 2)^2 = 4

(x + 1)^2 + (y + 2)^2 = 4

(x + 1)^2 + (y - 2)^2 = 16

(x - 1)^2 + (y + 2)^2 = 16

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of plotting points north, south, east, and west from the center when graphing a circle?

To calculate the circumference

To ensure the circle is centered

To mark the radius in all directions

To find the diameter

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