MCQ
જો $f(x)=ax^2 +bx+c$ અને $f(x+1)-f(x)=8x+3$ તો $a=$ ................ $b=$ ...............
- A$2,1$
- ✓$4,-1$
- C$-1,4$
- D$-1,1$
$f(x)$= $ax^2+bx+c $
$\therefore f(x+1)=a(x+1)^2+b(x+1)+c $
$ f(x+1)-f(x)=8x+3 $
$ \therefore ax^2+2ax+a+bx+b+c-ax^2-bx-c =8x+3$
$\therefore 2ax+(a+b)=8x+3 $
$ \therefore 2a=8$ & $ a+b=3 $
$ \therefore a=4 $
$ 4+b=3 $
$ \therefore b=-1$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.