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

Question

State whether the statements True or False. Justify

If P is a point on the ellipse x²/16 + y²/25 = 1  whose foci are S and S′, then PS + PS′ = 8.

Answer 1

As the sum of distances of any point P on the ellipse from the two foci is equal to the length of the major axis.

Major Axis = 2b = 10

b = 5

S & S’ are foci, then PS + PS’ = 5 + 5 = 10 ≠ 8

FALSE