Question

How long is the minor axis for the ellipse shown below?

Answer 1

The length of the minor axis is 4

Step-by-step explanation:

Step 1 :

The given equation  is  $\frac{(x-3)^{2}}{64} + \frac{(y-7)^{2}}{4} = 1$

Here we see the denominator below the variable x is greater than below y. Hence the ellipse's major axis and the minor axis are parallel to x-axis  and  y-axis respectively

Step 2 :

The square of the semi minor axis will be the denominator of the y variable. So in the given ellipse ,

the square of the semi minor axis = 4

Hence the length of the semi minor axis  = $\sqrt{4}$  = 2

Step 3 :

The length of the minor axis = 2 times the length of the semi minor axis

                                               = 2 × 2 = 4

Answer :

The length of the minor axis is 4