শিক্ষাবর্ষঃ ২০০৬-২০০৭ || 2006

common.all_written_question

tan-1a+bxb-ax=tan-1ab+x1-abx

=tan-1ab+tan-1x

ddxtan-1ab+tan-1x

=11+x2Ans.

R.S=A-BC=ABC'=AB'C'

     =AB'AC'=A-BA-C=L.S Proved

1+i3   মডুলাস, r=1+32=2 Ans.

এবংArgument, θ=tan-131=π3 Ans.

 a+ib3=x+iy

a+ib=x3-3xy2+i3x2y-y3  a=x3-3xy2

b=3xy2-y3  ax+by=x2-3y2+3x2-y2=4x2-y2 Showed