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Q.

Which of the following is possible in ∆ABC?

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a

cos⁡A+cos⁡B+cos⁡C=32

b

cos A cos B cos C= 0

c

sin⁡A+sin⁡B+sin⁡C=2+1

d

sin⁡Asin⁡Bsin⁡C=−38

answer is A.

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Detailed Solution

1 A=B=C=π3(2) Right angled triangle (3)  A=B=π4,C=π2(4) Not possible as sin A, sin B, sin C > 0
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