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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
If, in a Δ ABC,  (a+b+c)  (b+cβˆ’a)=Ξ»β€…β€Šβ€‰bc\Delta \,ABC,\,\,\left( {a + b + c} \right)\,\,\left( {b + c - a} \right) = \lambda \;\,bc, then
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Correct option: D
0<Ξ»<40 < \lambda < 4
The correct answer is D (0<λ<40 < \lambda < 4) because the given equation can be rewritten in terms of cos⁑2(A2)\cos^2(\frac{A}{2}), which must be between 0 and 1.

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