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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

1 Hard
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Application +4 | -1
In the ambiguous case, if a,  ba,\,\,b and AA are given and c1, c2{c_1},\,{c_2} are two values of the third side cc, then
c12−2 c1c2  cos⁡  2A+c22=  c_1^2 - 2\,{c_1}{c_2}\,\,\cos \,\,2A + c_2^2 = \;
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Correct option: A
4a2  cos⁡2A4{a^2}\,\,{\cos ^2}A
Option A (4a2 cos⁡2A4{a^2}\,{\cos ^2}A) is correct because it results from trigonometric identities and algebraic manipulation of the given conditions in the ambiguous case.

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