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Paragraph: Consider the following for the next two (02) items that follow: P (x, y) is any point on the ellipse x^2+4 y^2=1 . Let E, F be the foci of the ellipse. Question: What is P E+P F equal to?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

x^2+4 y^2=1 x^2 1 + y^2 ( 1 4 ) =1a^2=1, b^2= 1 4 a=1, b= 1 2 E and F are foci P E+P F=2 a= major axis =2(1)=2 .

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