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Question

If in a ABC, 3a=b+c, then the value of cotB2.cotC2 is :

A
1
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B
3
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C
2
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D
none of these
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Solution

The correct option is D 2
Consider, cotB2cotC2

=s(sb)(sa)(sc)×s(sc)(sb)(sa)
=ssa=2s2s2a=a+b+cb+ca=4a2a=2

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