Most Important Selected Qs for JEE AdvancedMathematicsDeterminants
, then B is equal to If (x)= | array ccc e^x & 2 x & x^2 (1+x) & x & x x^2 & e^x-1 & x^2 array |=A+B x+C x^2+
Options
- A0
- B1
- C2
- Dnone of these
Correct answer
A. 0
Step-by-step solution
aligned & ^ (x)= | array ccc e^x & 2 2 x & 2 x ^2 x^2 (1+x) & x & x x^2 & e^x-1 & x^2 array |+ | array ccc e^x & 2 x & x^2 1 (1+x) & - x & x x^2 & e^x-1 & x^2 array |+ | array ccc e^x & 2 x & x^2 (1+x) & x & x -2 x x^2 & e^x & 2 x x^2 array | & =B+2 C x+ . & Put x=0, B= | array ccc 1 & 2 & 0 0 & 1 & 0 1 & 0 & 0 array |+ | array ccc 1 & 0 & 0 1 & 0 & -1 1 & 0 & 0 array |+ | array ccc 1 & 0 & 0 0 & 1 & 0 0 & 1 & 0 array |=0 aligned