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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Let f(x)=(a x+b) x+(c x+d) x and f^ (x)=x x for all x R , then

Options

  1. Aa=-1
  2. Bb=1
  3. Cc=1
  4. Dd=-1

Correct answer

C. c=1

Step-by-step solution

We have a x-(a x+b) x+c x+(c x+d) x=x x x R (a+d) x+(c-b) x-a x x+(c-1) x x=0 is an identity a + d =0, c - b =0, a =0, c -1=0 a = d =0 and b = c =1

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