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Cartesian Equation of Ellipse

Cartesian Equation of Ellipse

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial introduces the concept of an ellipse, a type of conic section, and its applications in real life, such as planetary orbits and whispering galleries. It defines an ellipse mathematically, explains its properties, and demonstrates how to construct one using a simple activity. The tutorial covers key terms like focus, directrix, and axes, and derives the Cartesian equation of an ellipse. It also discusses the symmetry and area of an ellipse, comparing it to a circle.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a real-life example of an ellipse?

The surface of liquid in a tilted glass

The path of electrons in an atom

The orbit of planets

The shape of a square

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant ratio called that determines the shape of a conic section?

Chord

Directrix

Focus

Eccentricity

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many foci does an ellipse have?

One

Two

Three

Four

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the major axis of an ellipse?

A line segment joining any two points on the ellipse

The shortest chord passing through the center

The longest chord passing through the center

A line segment perpendicular to the minor axis

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to an ellipse when its foci coincide?

It becomes a line

It becomes a parabola

It becomes a hyperbola

It becomes a circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which axis is the ellipse symmetric about if its major axis lies on the X-axis?

Neither X nor Y axes

Both X and Y axes

Y-axis only

X-axis only

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the line called that passes through the foci of an ellipse?

Chord

Minor axis

Major axis

Directrix

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