If `d/(dx)((1+x^2+x^4)/(1+x+x^2))=a x+b ,`then the value of a and b are respectively.2 and 1 (b)`2a n d-1`(d) None of theseA. `-1`B. 1C. 2D. 4

If `d/(dx)((1+x^2+x^4)/(1+x+x^2))=a x+b ,`then the value of a and b ar

1.	If `d/(dx)((1+x^2+x^4)/(1+x+x^2))=a x+b ,`then the value of a and b are respectively.2 and 1 (b)`2a n d-1`(d) None of theseA. `-1`B. 1C. 2D. 4
Answer» Correct Answer - A Given `(d)/(dx)((1+x^(2)+x^(4))/(1+x+x^(2)))` `=(d)/(dx)[(1+x+x^(2)+x^(4)-x)/(1+x+x^(2))]` `=(d)/(dx)[1+(x^(4)-x)/(x^(2)+x+1)]` `=(d)/(dx)[1+(x(x^(3)-1))/(x^(2)+x+1)]` `=(d)/(dx)[1+x(x-1)]` `=(d)/(dx)[1+x^(2)-x]-2x - 1" "...(i)` Now comparing equation (i) with AX + B, we get A = 2 and B = -1.