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Question

In Δ ABC
(cota2+cotb2) (asin2b2+bsin2A2)=

A
cotC
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B
c cotC
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C
cotC2
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D
c cotC2
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Solution

The correct option is D c cotC2
[S(Sa)+S(Sb)][a(Sc)(Sa)ac+b(Sb)(Sc)bc]
=S[c]×1c[2S2S(a+c+b+c)+ac+bc]
=S[2S2S(2S+c)+c(a+b)]
=S/[2S22S2Sc+c(2Sc)]
=S/[Sc+2Scc2]
=S/[Scc2]=Sc[Sc]=c(S(Sc))
=ccotc/2(D)

1179176_1276246_ans_c57c36835cb243d68e49adc1a2a1ced6.jpg

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