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ivolga24 [154]
3 years ago
5

X² + 4y² = 36 The major axis runs along: A) y=4x B) x-axis C) y-axis

Mathematics
2 answers:
Keith_Richards [23]3 years ago
5 0

Answer:

Option B - x-axis.                                  

Step-by-step explanation:

Given : Equation x^2+4y^2=36

To find : The major axis runs along?

Solution :

The given equation is an ellipse the general form of an ellipse is

\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1

Converting into general form of an ellipse,

x^2+4y^2=36

Divide by 36 both side,

\frac{x^2}{36}+\frac{4y^2}{36}=\frac{36}{36}

\frac{x^2}{36}+\frac{y^2}{9}=1

\frac{x^2}{6^2}+\frac{y^2}{3^2}=1

Here, a=6 and b=3

Since, a>b then the major axis of the ellipse is parallel to the  x-axis.

Therefore, The major axis runs along x-axis of the equation x^2+4y^2=36

So, Option B is correct.

choli [55]3 years ago
3 0

Answer:

The major-axis runs along the x-axis.

Step-by-step explanation:

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