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The foci of the ellipse 4 x^2+9 y^2=1 are at Q and R . If P (x, y) is any point on the ellipse, then what is PQ + PR equal to?

Options

  1. A2
  2. B1
  3. C2 3
  4. D1 3

Correct answer

B. 1

Step-by-step solution

Given equation of ellipse, 4 x^2+9 y^2=1 Here, a = 1 2 and b = 1 3 Since, P ( x , y ) is any point on the ellipse. So, PQ + PR =2 a =2 1 2 =1 .

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