If x 2 + x x + 1 x - 2 2 x 2 + 3 x - 1 3 x 3 x - 3 x 2 + 2 x + 3 2 x - 1 2 x - 1 = a x - 12 , then a is…

If x2+xx+1x-22x2+3x-13x3x-3x2+2x+32x-12x-1=ax-12 , then a is equal to:
  1. -24
  2. 24
  3. -12
  4. 12

Solution

Put x=1 on both the sides

22-1430611=a-12

23-0-24-0-14-18=a-12

6-8+14=a-12

12=a-12

24=a.

Asked in: JEE Main 2015 (11 Apr Online)

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