Binomial Theorem And Its Simple Applications Question 194

Question: What is the sum of the coefficients of $ {{(x^{2}-x-1)}^{99}} $

[Orissa JEE 2005]

Options:

A) 1

B) 0

C) -1

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Putting $ x=1 $ in $ {{(x^{2}-x-1)}^{99}} $

we get the sum of the coefficient of $ {{(x^{2}-x-1)}^{99}} $ = $ {{(1^{2}-1-1)}^{99}}=-1 $ .