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CBSE Class 10 Answered

state true or false  please explain the answer  
question image
Asked by gpnkumar0 | 15 Feb, 2018, 10:00: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator straight a plus begin display style 1 over straight a end style over denominator 2 end fraction greater or equal than square root of straight a cross times 1 over straight a end root space space space space space space space space space space space space space space As space AM greater or equal than GM
straight a plus fraction numerator begin display style 1 end style over denominator begin display style straight a end style end fraction greater or equal than 2........... left parenthesis straight i right parenthesis
As space we space know space minus 1 less or equal than sinθ less or equal than 1
minus 2 less or equal than 2 sinθ less or equal than 2
Possible space values space of space sinθ space can space be
straight a plus fraction numerator begin display style 1 end style over denominator begin display style straight a end style end fraction space equals 2
And space this space is space true space only space when space straight a equals 1
According space to space the space question space straight a not equal to 1
Hence comma space value space of space 2 sinθ space can space not space be space straight a plus fraction numerator begin display style 1 end style over denominator begin display style straight a end style end fraction
end style
Answered by Sneha shidid | 16 Feb, 2018, 10:41: AM

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