Given:
The condition is
![\[{{y}^{2}}~=\text{ }-8x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-b00675a2655eaa478e43d6c8e2c7168a_l3.png "Rendered by QuickLaTeX.com")
Here we realize that the coefficient of 
Along these lines, the parabola opens towards left.
On contrasting this condition and
![\[{{y}^{2}}~=\text{ }-4ax\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-387086017cf9dd6a6979cd1b4b80064a_l3.png "Rendered by QuickLaTeX.com")
, we get,
![\[\begin{array}{*{35}{l}} -4a\text{ }=\text{ }-8 \\ a\text{ }=\text{ }-8/-4\text{ }=\text{ }2 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-02fb722491c682805d16198a9e74ec5f_l3.png "Rendered by QuickLaTeX.com")
Accordingly, the co-ordinates of the concentration
![\[~=\left( -a,0 \right)\text{ }=\text{ }\left( -2,\text{ }0 \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-52ffc5188fa02e15be510c8659e9a82e_l3.png "Rendered by QuickLaTeX.com")
Since, the given condition includes
![\[{{y}^{2}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e89bfe389513847bf1aaed2fed294b93_l3.png "Rendered by QuickLaTeX.com")
, the hub of the parabola is the
![\[x\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d9f5f383952b7a3f84125cb5193e25a5_l3.png "Rendered by QuickLaTeX.com")
axis .
∴ The condition of directrix,
![\[x\text{ }=a\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3820d98efb85e6adff2736b8adcdb620_l3.png "Rendered by QuickLaTeX.com")
, then, at that point,
![\[x\text{ }=\text{ }2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bdd05f7c438a55db2981dd2702ba7e17_l3.png "Rendered by QuickLaTeX.com")
Length of latus rectum
![\[=\text{ }4a\text{ }=\text{ }4\text{ }\left( 2 \right)\text{ }=\text{ }8\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-88940e4547007d3207e2d5f402265403_l3.png "Rendered by QuickLaTeX.com")
