![\[9{{x}^{2}}~+\text{ }25{{y}^{2}}~=\text{ }225\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7810f858ac4df7ba27bdbe2c1a38bfb7_l3.png "Rendered by QuickLaTeX.com")
Given:
The equation of ellipse
![\[=>\text{ }9{{x}^{2}}~+\text{ }25{{y}^{2}}~=\text{ }225\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e12e53925696e92ac9fe69286871d7e2_l3.png "Rendered by QuickLaTeX.com")
This equation can be expressed as
By using the formula,
Eccentricity:
Here,
![\[{{a}^{2}}~=\text{ }25\text{ }and\text{ }{{b}^{2}}~=\text{ }9\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e181fd12d5220c3e6fcb581ff0d252a6_l3.png "Rendered by QuickLaTeX.com")
Length of latus rectum
![\[=\text{ }2{{b}^{2}}/a\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-47c6e5dfc4ff2158af570ee22ebe4b2a_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }\left[ 2\left( 9 \right) \right]\text{ }/\text{ }\left( 5 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7b5643368db256bc40e2b5ed61f6258c_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }18/5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e8aa20a198256e09cf82bc0f4c587864_l3.png "Rendered by QuickLaTeX.com")
Coordinates of foci
![\[\left( \pm ae,\text{ }0 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d3cb528ebfdb03c275158177df0f88e4_l3.png "Rendered by QuickLaTeX.com")
Given:
The equation of ellipse
This equation can be expressed as
By using the formula,
Eccentricity:
Here,
Length of latus rectum
Coordinates of foci