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BITSAT2009MathematicsPair of LinesActual

If ( ₀^n[x] dx =66 ), then (n= )

Options

  1. A24
  2. B9
  3. C12
  4. D7

Correct answer

C. 12

Step-by-step solution

( aligned & ₀^n[x] d x= ₀^1 0 d x+ ₁^2 1 d x+ ₂^3 2 d x+ + & _ n-1 ^n(n-1) d x & =1+2+3+ .+(n-1)= (n-1) n 2 =66 & n(n-1)=132 n=12 aligned )

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