MathematicsChoose the correct option from the given below options by solving the following question: If α, β are the zeros of the polynomial f(x)=x2−p(x+1)−c=0 such that(α+1)(β+1)=0, then c=?

Choose the correct option from the given below options by solving the following question: If α, β are the zeros of the polynomial f(x)=x2−p(x+1)−c=0 such that(α+1)(β+1)=0, then c=?


  1. A
    1
  2. B
    0
  3. C
    -1
  4. D
    2 

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    Solution:

    We have, f(x)= x2 – p(x+1) – c=0
    And    = 0
    We have to find, c=?
     f(x) = x2 – px – p – c=0
    Here,    a=1, b= -p, c= - p – c
    =    ----- (1)
     Put the values in eq (1), we get
    -p-c+p+1=0
    -c+1=0
     c= 1
    Hence, Option (1) is the correct answer.
     
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