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Maths Differentiation and Applications of Derivatives General Single Correct MCQ
Published on: August 12, 2026

Let ABC is given triangle having respective sides a,b,c. D,E,F are points of the sides BC,CA,AB respectively so that AFDE is a parallelogram. The maximum area of the parallelogram is

A
bcsinA
B
bcsinA
C
bcsinA
D
bcsinA

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Text Solution

Verified by Experts
The correct answer is:
A

From similar triangles Δ ABC, Δ FBD

=

Area of AFDE = xy sin A

= (c – x) sin A

It is maximum when x =

∴ Maximum area = sinA

statement -1 is true

statement-2 is obvious.

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