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Question

In a ABC if b+c=3a, then cotB2.cotC2 has the value equal to

A
4
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B
3
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C
2
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D
1
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Solution

The correct option is C 2
cotB2cotC2

we know,
cotB2=s(sb)(sa)(sc),cotC2=s(sc)(sa)(sb)

cotB2cotC2=ssa

s=a+b+c2a+3a2,s=2a

cotB2cotC2=2a2aa2


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