MathsJEE Main 5 Apr 2026, Shift 1·Q9·MCQ·Easy–moderate

Conic Sections · Ellipse focus and eccentricity

Let a focus of the ellipse

E : \dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1

S(4, 0)

and its eccentricity be

\dfrac45

. If the point

P(3, \alpha)

lies on

E

and

O

is the origin, then the area of

\Delta POS

is equal to:

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