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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In triangle ABCA B C if A:B:C=1:2:4A: B: C=1: 2: 4, then (a2−b2)(b2−c2)(c2−a2)=λa2b2c2\left(a^2-b^2\right)\left(b^2-c^2\right)\left(c^2-a^2\right)=\lambda a^2 b^2 c^2, where λ=\lambda= (where notations have their usual meaning)
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Correct option: A
1
Option A (1) is correct because by substituting the angles and using trigonometric identities, the expression simplifies to 1.

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