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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1
If the area of a Δ  ABC\Delta \;ABC is given by Δ=a2−(b−c)2\Delta = {a^2} - {\left( {b - c} \right)^2}, then tan⁡(A2)\tan \left( {\frac{A}{2}} \right) is equal to
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Correct option: C
14\frac{1}{4}
Option C (14\frac{1}{4}) is correct because by simplifying the given area equation and using Heron's formula, we can find that tan⁡A2=14\tan \frac{A}{2} = \frac{1}{4}.

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