Respuesta :
Answer:
x^2 / 25 + y^2 / 9 = 1
Step-by-step explanation:
The major axis is along the x axis and the minor axis is on the y axis.
Major axis = 2a = 5--5 =10 so a = 5 and a^2 = 25.
Similarly b^2 = 3^2 = 9.
Answer:
[tex]\frac{x^2}{25}+\frac{y^2}{9}=1[/tex]
Step-by-step explanation:
Equation of ellipse is of form [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex] where [tex](a,0) , (-a,0)[/tex] are the x-intercepts and [tex](0,b) , (0,-b)[/tex] are the y-intercepts . If [tex]a > b[/tex] then it is a horizontal ellipse and if [tex]a < b[/tex] then it is a vertical ellipse .
For horizontal axis ,
Here, [tex](a,0) , (-a,0)[/tex] are known as the vertices of ellipse and [tex](0,b) , (0,-b)[/tex] are the co-vertices of ellipse .
Horizontal axis is known as the major axis and vertical axis is known as the minor axis .
Here, x-intercepts are [tex](5,0) , (-5,0)[/tex] , take a = 5
y-intercepts are [tex](0,3) , (0,-3)[/tex] , take b = 3
As [tex]a > b[/tex] , it is a horizontal ellipse .
On putting a = 5 and b = 3 , we get equation as
[tex]\frac{x^2}{5^2}+\frac{y^2}{3^2} =1\\ \frac{x^2}{25}+\frac{y^2}{9} =1[/tex]
