InterviewSolution
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InterviewSolution
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In a `Delta ABC`, 2 sinA cos B + 2 sin B cos C + 2 sin cos A = sin A + sin B + sin C, then `Delta ABC`isA. isoscelesB. right angledC. acute angledD. none of these |
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Answer» Correct Answer - A Given `sin(A+B)+sin(A-B)+sin (B+C)+sin(B-C)+sin (C+A)+sin(C-A)` `= sin A + sin B + sin C` `rArr sin(A-B)+sin (B-C)+sin(C-A)=0` `rArr 4 sin.(A-B)/(2)sin.(B-C)/(2)sin.(C-A)/(2)=0` `therefore Delta` is isosceles. |
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