In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at \left ( 0,5\sqrt{3} \right ), then the length of its latus rectum is : 

 

 

 

  • Option 1)

    10

  • Option 2)

    5

  • Option 3)

    8

  • Option 4)

    6

Answers (1)

 

focus is at  \left ( 0,5\sqrt{3} \right )

given difference of major axis-minor axis =10

b-a=5

be=5\sqrt{3}

a^{2}=b^{2}\left ( 1-e^{2} \right )=b^{2}-\left ( be \right )^{2}

b=10,a=5

Length of LR = \frac{2a^{2}}{b}=5


Option 1)

10

Option 2)

5

Option 3)

8

Option 4)

6

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