First slide

Ellipse

Question

S₁ and S₂, are the foci of an ellipse of major axis of length 10 units, and P is any point on the ellipse such that the perimeter of triangle PS₁S₂, is 15. Then the eccentricity of the ellipse is

Moderate

A

0.5
B

0.25
C

0.28
D

0.75

Solution

$2 a (1 + e) = 15$
$\begin{aligned} or 1 + e = \frac{3}{2} \\ or e = 0 .5 \end{aligned}$

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