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AP EAMCET20228 Jul 2022Morning ShiftMathematicsEllipseActual

Let E₁= x^2 9 + y^2 4 =1 and E₂= x^2 d^2 + y^2 b^2 =1 be two ellipses and R be a rectangle with sides parallel to the coordinate axes. Let E₁ be inscribed ellipse in R and E₂ be circumscribed ellipse on R. If E₂ passes through (0,4) then

Options

  1. Aa=4, b=2 3
  2. Ba=12, b=16
  3. Ca=16, b=16
  4. Da=2 3 , b=4

Correct answer

D. a=2 3 , b=4

Step-by-step solution

Acc. to question. aligned & E₁= x^2 g + y^2 4 =1 a=3, b=2 & E₂= x^2 a^2 + y^2 b^2 =1 aligned E ₂ , passes through (0,4) b= 4 for E₂ from figure C=(3,2) a ^2=12 or a =2 3

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