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The eccentric angles of the extremities ...

The eccentric angles of the extremities of latusrecta of the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1` is

A

`Tan^(-1)(pmb/(ae))`

B

`Sin^(-1)(pmb/(ae))`

C

`Cos^(-1)(pmb/(ae))`

D

`Sec^(-1)(pmb/(ae))`

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Knowledge Check

  • The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2))) + (y^(2)/(b^(2))) = 1 is

    A
    `tanA^(-1)(pm(b)/(ae))`
    B
    `sin^(-1)(pm(b)/(ae))`
    C
    `cos^(-1)(pm(b)/(ae))`
    D
    `sec^(-1)(pm(b)/(ae))`

  • If alpha, beta are the eccentric angles of the extremities of a focal chord of the ellipse x^(2)/16+y^(2)/9, " then "tan""alpha/2tan""beta/2=

    A
    `(sqrt(5)+4)/(sqrt(5)-4)`
    B
    `9/23`
    C
    `(sqrt(5)-4)/(sqrt(5)+4)`
    D
    `(8sqrt(7)-23)/9`

  • The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

    A
    `4/5`
    B
    `3/5`
    C
    `4/3`
    D
    `3/4`

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