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JEE Main201912 Apr 2019Evening ShiftMathematicsEllipseActual

An ellipse, with foci at 0,2 and 0 , - 2 and minor axis of length 4 , passes through which of the following points?

Options

  1. A1 , 2 2
  2. B2 , 2
  3. C2 , 2
  4. D2 , 2 2

Correct answer

C. 2 , 2

Step-by-step solution

Given that be = 2 and a = 2 (here a < b ) ∵ a 2 = b 2 1 - e 2 ∴ b 2 = 8 ∴ Equation of ellipse x 2 4 + y 2 8 = 1 Clearly 2 , 2 lies on the ellipse.

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