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  • In a triangle PQR , Angle R = pi/2 If tan (P/2) and tan (Q/2) are the roots of the equation ax^2+bx+c=0 then

In a triangle PQR , Angle R = pi/2 If tan (P/2) and tan (Q/2) are the roots of the equation ax^2+bx+c=0 then

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Solution:  Given ,

                an fracP2+ an fracQ2=-fracba     and    an fracP2 an fracQ2=fracca

         Rightarrow      an (fracP+Q2)= frac-fracba1-fracca  

      As    P+Q=fracpi2Rightarrow 1=frac-ba-cRightarrow c=a+b.

Posted by

Deependra Verma

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