ELLIPSES?? does anyone know how to do these??

Question

Find the length of these major and minor ellipses.

#1

(x^2/100) plus (y^2/25) =1

length of major axis _______

length of minor axis ______

#2

(x^2/16) plus (y^2/25) =1

length of major axis _____

length og minor axis _____

#3

x^2 plus 4y^2 =33

Length of major axis _______

#4

x^2 plus 4y^2 =33

Length of minor axis __________

Answer 1

1. major axis 10

    minor axis 5

2. major axis 5

    minor axis 4

3. major axis rt33

4.   minor axis (rt33)/2

Answer 2

1

length of major axis : 10

length of minor axis : 5

#2

length of major axis :4

length of minor axis :5

#3

length of major axis :  sqrt(33)

#4

length of minor axis :  sqrt(33/4)

the formula is :

reduce to the form :

x^2/a^2 + y^2/b^2=1

a is your major axis and b minor

Answer 3

1)

Major axis = 10

Minor axis = 5

(these are the square roots of the numbers in the denominators)

2) same as 1 - you work it out

(note the major axis is the bigger number - this ellipse has its major axis on the y axis)

3) and 4)

x² + 4y² = 33

x²/33 + 4y²/33 = 1

major axis = √(33)

minor axis = √(33/4) = √(33)/2

note: the "+" works now - you don't have to type "plus" any more

Answer 4

Tammy, check your textbook: It's in there somewhere.

Your questions are the easiest form there is.  Have a try, it will come out easily.

If you think the ellipses are aligned with the axes, you could try setting x & y to zero, one at a time & solving for the other one?