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  • In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 9 and one of the foci is at <img alt="(0,5 \sqrt{3})" src="https://entrance

In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 9 and one of the foci is at (0,5 \sqrt{3}) , then the length of its latus rectum is

Option: 1

5 units 


Option: 2

6 units


Option: 3

7 units

 


Option: 4

2 units


Answers (1)

best_answer

b^2 e^2=75

\begin{aligned} & (b+a)(b-a)=75 \\ & (b+a)=15 \end{aligned}

= length of latus rectum is \frac{2 a^2}{b}=5  units

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vinayak

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