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Home / Doubts and Solutions/JEE/Mathematics

Q4 pls 

Asked by Tanishq 28th October 2017, 10:20 AM
Answered by Expert
Answer:
begin mathsize 16px style tan straight A over 2 comma space tan straight B over 2 comma space tan straight C over 2 space are space in space HP space then cot fraction numerator begin display style straight A end style over denominator begin display style 2 end style end fraction comma space cot fraction numerator begin display style straight B end style over denominator begin display style 2 end style end fraction comma cot fraction numerator begin display style straight C end style over denominator begin display style 2 end style end fraction space are space in space AP rightwards double arrow cot fraction numerator begin display style straight B end style over denominator begin display style 2 end style end fraction space minus space cot fraction numerator begin display style straight A end style over denominator begin display style 2 end style end fraction space equals cot fraction numerator begin display style straight C end style over denominator begin display style 2 end style end fraction space minus space space cot fraction numerator begin display style straight B end style over denominator begin display style 2 end style end fraction rightwards double arrow 2 cot fraction numerator begin display style straight B end style over denominator begin display style 2 end style end fraction space equals space cot fraction numerator begin display style straight C end style over denominator begin display style 2 end style end fraction space plus space cot fraction numerator begin display style straight A end style over denominator begin display style 2 end style end fraction rightwards double arrow fraction numerator 2 over denominator tan straight B over 2 end fraction equals fraction numerator 1 over denominator tan straight C over 2 end fraction plus fraction numerator 1 over denominator tan straight A over 2 end fraction After space solving space this space using space trigonometric space formulae space you space will space get space straight a plus straight c equals 2 straight b Hence comma space straight a comma straight b comma straight c space are space in space AP. end style
Answered by Expert 13th December 2017, 6:09 PM
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