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The locus of extremities of the latus re...

The locus of extremities of the latus rectum of the family of ellipse `b^2x^2+a^2y^2=a^2b^2` is

A

`x^(2)-ay=a^(2)`

B

`x^(2)-ay=b^(2)`

C

`x^(2)+ay=a^(2)`

D

`x^(2)+ay=b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • The latus rectum of the ellipse 5x^2 + 9y^2 = 45 is

    A
    `5//3`
    B
    `10//3`
    C
    `2sqrt(5)//3`
    D
    `sqrt(5)//3`

  • The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

    A
    `4`
    B
    `3`
    C
    `8`
    D
    `(4)/(sqrt(3))`

  • The eccentric angles of the extremities of latus-rectum of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 are given by

    A
    `tan^(-1)(pm (a e)/(b))`
    B
    `tan^(-1)(pm (be)/a)`
    C
    `tan^(-1)(pm b/(ae))`
    D
    `tan^(-1)(pm a/(be))`

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