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Question

If a and b are the roots of equation x2 + 4x + p = 0 where P= nr=0 ncr 1+rx(1+nx)r(1)r
 then the value of  |ab| is


  1. 2

  2. 6

  3. None of these

  4. 4


Solution

The correct option is D

4


p=nr=0ncr(11+nx)r+nr=0ncr(1)rrx(1+nx)r=(111+nx)n+xnr=1n1Cr1(1)rr(1+nx)r=(nx1+nx)n(nx1+nx)(111+nx)n1=0|ab|=4

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