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The length of the latus-rectum of the ellipse, whose foci are (2,5) and (2,-3) and eccentricity is 4 5 , is

Options

  1. A6 5
  2. B50 3
  3. C10 3
  4. D18 5

Correct answer

D. 18 5

Step-by-step solution

aligned & 2 be =8 & be =4 aligned aligned & b ( 4 5 )=4 ~b =5 & c ^2= b ^2- a ^2 & 16=25- a ^2 a =3 & L.R. = 2 a ^2 ~b = 18 5 aligned

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