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The equations of the directrices of the ...

The equations of the directrices of the ellipse `25x^(2)+9y^(2)-150x-90y+225=0`

Text Solution

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The correct Answer is:
`sqrt5/2 (pm sqrt5,0); (pm 2,0), 1, xsqrt5 pm 4=0`
(ii) `sqrt(13)/3, (pm sqrt(39)/2,0), (pm (3sqrt3)/(2),0), 4/sqrt3`
`2sqrt(13x)=pm 9sqrt3`
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Knowledge Check

  • The equations of the directrices of the ellipse 9x^(2) + 25y^(2) = 225 are

    A
    `4x=pm5`
    B
    `16x=pm25`
    C
    `4x=pm25`
    D
    `3x=pm25`

  • The equations of the latusrecta of the ellipse 9x^(2)+ 25y^(2) -36 x+50y -164=0 are

    A
    x-4=0,x+2=0
    B
    x-6=0,x+2=0
    C
    x-6=0,x-2=0
    D
    x+4=0,x+5=0

  • The vertices of the ellipse 9x^(2) + 25y^(2) - 90x - 150y + 225 = 0 are

    A
    (1,3),(9,3)
    B
    (2,3),(7,3)
    C
    (3,3),(6,3)
    D
    (0,3),(10,3)

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