Question

Statement-1: The maximum area of ∆PS₁S₂ where S₁, S₂ are foci of the ellipse x² /a² + y²/b² = 1 and P is any variable point on it, is abe, where e is eccentricity of the ellipse. 

Statement-2: The coordinates of pare (a sec θ, b tan θ). 

(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1. 

(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1. 

(C) Statement – 1 is True, Statement – 2 is False. 

(D) Statement – 1 is False, Statement – 2 is True. 

Answer 1

Correct option: (c)

Explanation:

area of ∆PS₁ S₂ = abe sin θ clearly its maximum value is abe.