equation of an ellipse is y2 = 4ax,
Also we have length of latus rectum = 4a
Now by comparing the above two equations,
4a = 8
Therefore
![\[\begin{array}{*{35}{l}} a\text{ }=\text{ }2 \\ {{y}^{2~}}=\text{ }8\text{ }\times \text{ }2\text{ }=\text{ }16 \\ y\text{ }=\text{ }\pm \text{ }4\text{ }and\text{ }x\text{ }=\text{ }2 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ec98b3c5e2f3231fde606b6c814c1e38_l3.png "Rendered by QuickLaTeX.com")
Hence the co – ordinates are (2, 4) and (2, -4).
equation of an ellipse is y2 = 4ax,
Also we have length of latus rectum = 4a
Now by comparing the above two equations,
4a = 8
Therefore
Hence the co – ordinates are (2, 4) and (2, -4).