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The eccentric angle of the point (2,sqrt...

The eccentric angle of the point `(2,sqrt(3))` lying on `(x^(2))/(16)+(y^(2))/(4)=1` is

A

`(pi)/(6)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`(pi)/(4)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the tangents drawn from a point (1,2 sqrt(3)) to the ellipse (x^(2))/(9)+(y^(2))/(b^(2))=1 are at right angles then b =

    A
    4
    B
    1
    C
    2
    D
    3
  • The value for m for which the line y=m x+(25)/(sqrt(3)) is a normal to the conic (x^(2))/(16)-(y^(2))/(9)=1 is

    A
    `pm (2)/(sqrt(3))`
    B
    `sqrt(3)`
    C
    `-(sqrt(3))/(2)`
    D
    none of these
  • The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

    A
    `(2sqrt(5))/(6)`
    B
    `(2sqrt(13))/(4)`
    C
    `(2sqrt(5))/(4)`
    D
    `(2sqrt(13))/(6)`
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