In a ABC, B = 90^ and b + a = 4. The area of the triangle is the maximum when C is

JEE Advanced Mathematics question

Not in JEE syllabus

In a , and . The area of the triangle is the maximum when is

Answer: (C)

*(Figure: right triangle with the right angle at ; (leg), (hypotenuse), .)* Since , is the hypotenuse and . From :

b(1 + θ) = 4 ⇒ b = , a = .

Δ =

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Question ID VK-109411