Question

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

Answer 1

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.

Answer 2

Answer:

The major-axis runs along the x-axis.

Step-by-step explanation: