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  • If P is a point on the ellipse x square divided 16 plus y square divided 25 equal to 1 whose foci are S and S prime, then PS plus PS prime = 8.

If P is a point on the ellipse \frac{x^{2}}{16}+\frac{x^{2}}{25}=1 whose foci are S and S′, then PS + PS′ = 8.

Answers (1)

False 

 We have definition of the ellipse is \frac{x^{2}}{16}+\frac{y^2}{25}=1

 From the definition of the ellipse, we know that sum of the distances of any point P

 on the ellipse from the two foci is equal to the length of the major axis. 

  Here major axis=2b=2*5=10  

 S and S'are foci, then SP+S'P=10

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