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KCET2007MathematicsEllipse

If P is any point on the ellipse x² 36 + y² 16 =1 and S and S^ are the foci, then P S+P S^ is equal to

Options

  1. A4
  2. B8
  3. C10
  4. D12

Correct answer

D. 12

Step-by-step solution

Given ellipse is x² 36 + y² 16 =1 Here, a²=36, b²=16 Since, a>b , so the sum of the focal distance of any point P on the ellipse is P S=P S^ +2 a P S+P S^ =2 6 P S+P S^ =12

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