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CBSE Class 11-science Answered

If p and q are two non zero unequal real numbers show that sin theta can never be equal to p2+q2/2pq
Asked by rushabh1234 | 20 Nov, 2018, 11:22: AM
answered-by-expert Expert Answer
begin mathsize 12px style L e t space space space space sin theta space equals space fraction numerator p squared plus q squared over denominator 2 p q end fraction space.................. left parenthesis 1 right parenthesis
cos theta space equals space square root of 1 minus sin squared theta end root space equals space square root of 1 space minus space fraction numerator open parentheses p squared plus q squared close parentheses squared over denominator 4 p squared q squared end fraction end root space equals space square root of negative fraction numerator open parentheses p squared minus q squared close parentheses squared over denominator 4 p squared q squared end fraction end root space.................. left parenthesis 2 right parenthesis end style
If eqn.(1) is true, we should not get -ve value inside square root.
 
Hence sinθ never be equal to (p2+q2) / (2pq)
Answered by Thiyagarajan K | 22 Nov, 2018, 11:44: PM

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