Mathematics High School

What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1

Answers

Answer 1

[tex] \: \: \: \: [/tex]

[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]

refer to the attachmenthope it helps
What Are The Lengths Of The Major And Minor Axes Of The Ellipse? (x3)^2/18 + (y+4)^2/32=1
What Are The Lengths Of The Major And Minor Axes Of The Ellipse? (x3)^2/18 + (y+4)^2/32=1
Answer 2

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

What is an ellipse?

The standard form of the ellipse is defined as;

x² / a² + y² / b² = 1

Where, a < b

Minor axis of the ellipse = 2a

And, Major axis of the ellipse = 2b

Given that;

The equation of the ellipse is,

(x−3)² / 18 + (y+4)² /32 = 1

Now,

We can compare with the standards form of an equation of ellipse, we get;

a² = 18

a = √18

And, b² = 32

b = √32

Clearly, √18 < √32

That is; a < b

So, The minor axis of the ellipse = 2a

                                                  = 2√18

And, The major axis of the ellipse = 2b

                                             = 2√32

Therefore,

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

Learn more about the ellipse visit:

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Answers

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Answers

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