Question

D33

What is the length of th emajor ais of the ellipse whose equation is 10x² + 20y² =200?
A. 3.16
B. 4.47
C. 6.32
D. 8.94
E. 14.14

Answer 1

10x² + 20y² =200 / ÷ 200 ;
x^2 / 20 + y^2 / 10 = 1 ;
x^2 /
`( √(20) )^(2)` + y^2 /
`( √(10) )^(2)` = 1 ;
b =
`√(20)` ; a =
`√(10)` ;
Major axis is 2a = 2
`√(10)` ;