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  • The eccentricity of the hyperbola whose length of the latusrectum is equal to 9 and the length of its conjugate axis is equal to half of the distance between its foci, is<div class='q

The eccentricity of the hyperbola whose length of the latusrectum is equal to 9 and the length of its conjugate axis is equal to half of the distance between its foci, is

Option: 1

\begin{aligned} & \frac{2}{\sqrt{3}} \\ \end{aligned}


Option: 2

\frac{2}{\sqrt{5}} \\


Option: 3

\frac{4}{\sqrt{5}} \\


Option: 4

\frac{4}{\sqrt{6}}


Answers (1)

best_answer

\begin{aligned} &\begin{aligned} & =2 b=a e \\ & =4 e^2-4=e^2 \\ & 3 e^2=4 \end{aligned}\\ &=e=\frac{2}{\sqrt{3}} \end{aligned}

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