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Find the distance between the directrice...

Find the distance between the directrices of the ellipse `(x^2)/(36)+(y^2)/(20)=1.`

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`x^2/36+y^2/20=1`
`a^2=36,b^2=20`
`a=pm6,b=pm2sqrt5`
`e=sqrt(36-20)/6=2/3`
`e=2/3`
Distance between directrics=6/(2/3)=9.
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Knowledge Check

  • The distance between the directrices of the ellipse (x^(2))/(36)+(y^(2))/(20)=1 is

    A
    16 units
    B
    17 units
    C
    18 units
    D
    19 units

  • The distance between the directrices of ellipse (x^(2))/(36)+(y^(2))/(20)=1 is (i) 81 (ii) 9 (iii) 18 (iv) None of these

    A
    81
    B
    9
    C
    18
    D
    None of these

  • The distance between the foci of the ellipse 5x^(2)+9y^(2)=45 is

    A
    2
    B
    3
    C
    4
    D
    5

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