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AP EAMCET20225 Jul 2022Evening ShiftMathematicsEllipseActual

The distance between the directrices of the ellipse x^2 36 + y^2 20 =1 is

Options

  1. A9
  2. B6 5
  3. C8
  4. D3 5

Correct answer

C. 8

Step-by-step solution

for x^2 a^2 + y^2 b^2 =1 x^2 36 + y^2 20 =1 eccentricity (e)= 1- b^2 a^2 = 1- 20 36 = 2 3 Equation of directrix is x= a e aligned & x=6 2 3 and x=-6 2 3 & x=4 and x=-4 aligned distance between x=4 and x=-4=8

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