Answer :

Given:


Points O(0, 0), A(a cos θ, b sin θ) and (a cos θ, - b sin θ)


To find:


The value of for which area of the triangle formed by points O(0, 0), A(a cos θ, b sin θ) and (a cos θ, - b sin θ) is maximum.


Explanation:


Let A be the area of the triangle formed by the points O (0,0), A (acosθ, bsinθ) and B (acosθ, bsinθ)


A


A


A = ab sinθcosθ


Now,
Amax, when sin2θ = 1


Amax, when 2θ = π/2


θ


Hence, the area of the triangle formed by the given points is maximum when


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