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Statement-I Given equation `x^6-12x^5+ax^4+bx^3+cx^2+dx+64=0` has six positive roots `a_i(i=1,2,......6)` then the value of `|a+b|=100`Statement-II For the equation `x^6-12x^5+ax^4+bx^3+cx^2+dx+64=0` with six positive roots `a_i(i=1,2...6). `a=sum a_i a_2 and b=- suma_1 a_2 a_3`. |
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Answer» `alpha_!+alpha_2+alpha_3+alpha_4+alpha_5+alpha_6=12` `alpha_1alpha_2alpha_3alpha_4alpha_5alpha_6=64` `AM=12/6=2` `GM=(64)^(1/6)=2` `AM=GM` `alpha_1=alpha+2=alpha_3=alpha_4=alpha_5=alpha+6=2` `a=6C_2*4=60` `b=-6C_3*6=-160` `|a+b|=100` option 1 is correct. |
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