Home
Class 12
MATHS
If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+...

If `(1+x+x^(2))^(8)=a_(0)+a_(1)x+a_(2)x^(2)+…a_(16)x^(16)` for all values of x, then `(a_(5))/(100)` is equal to

A

502

B

504

C

506

D

508

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)|23 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Concept Based Single Correct Answer Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

(1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+....+a_(18)x^(18)

Let (x+10)^(50)+(x-10)^(50)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50)x^(50) for all x in R , then (a_(2))/(a_(0)) is equal to

Let (x + 10)^(50) + (x - 10)^(50) = a_(0) + a_(1) x + a_(2)X^(2) + ….. + a_(50) x^(50) , for all x in R , then (a_(2))/(a_(0)) is equal to

Let (1+x+x^(2))^(5)=a_(0)+a_(1)x+a_(2)x^(2)+…….+a_(10)x^(10) then value of a_(1)+a_(4)+a_(7)+a_(10) is ……

If (1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40) . The value of (a_(39))/(a_(40)) , is

If (1+2x+3x^(2) )^(10) = a_(0) + a_(1) x + a_(2) x^(2) +…+a_(20) x^(20) , then

If (1 + x + x^(2))^(48) = a_(0) + a_(1) x + a_(2) x^(2) + ... + a_(96) x^(96) , then value of a_(0) - a_(2) + a_(4) - a_(6) + … + a_(96) is

If (1-x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)++a_(2n)x^(2n) find the value of a_(0)+a_(2)+a_(4)++a_(2n)

If (1+2x+3x^(2))^(10)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+ . . .+a_(20)x^(20), then

If (1 + x+ 2x^(2))^(20) = a_(0) + a_(1) x + a_(2) x^(2) + …+ a_(40) x^(40) . The value of a_(0) + a_(2) + a_(4) + …+ a_(38) is

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
  1. Let E = 1^(2017) + 2^(2017) + 3^(2017) + ... + 2016^(2017), then E is ...

    Text Solution

    |

  2. Let (1 + x + x^(2))^(100)=sum(r=0)^(200)a(r)x^(r) and a=sum(r=0)^(200)...

    Text Solution

    |

  3. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

    Text Solution

    |

  4. Sum of the last 12 coefficients in the binomial expansion of (1 + x)^...

    Text Solution

    |

  5. The coefficients of x^3 and x^4 in the expansion of (1+ax+bx^2)(1-2x)^...

    Text Solution

    |

  6. If a, b and c are three consecutive coefficients terms in the expansio...

    Text Solution

    |

  7. Suppose a(0) = 2017, a(1) a(2), ... , a(n- 1), 2023 = a(n), are in A.P...

    Text Solution

    |

  8. The interval in which x must lie so that the greatst term in the ex...

    Text Solution

    |

  9. If the coefficients of the rth, (r +1)th and (r + 2)th terms in the bi...

    Text Solution

    |

  10. Let x > - 1, then statement P(n) : (1 + x)^(n) > 1 + nx is true for

    Text Solution

    |

  11. For n in N,2^(3n)+1 is divisisble by

    Text Solution

    |

  12. x^(2n-1)+y^(2n-1) is divisible by x+y

    Text Solution

    |

  13. For each n in N, n(n+1) (2n+1) is divisible by

    Text Solution

    |

  14. If an = sqrt(7+ sqrt( 7+sqrt7+ ....... ))) having n radical signs then...

    Text Solution

    |

  15. If a(n) = 2^(2^(n)) + 1, then for n > 1, last digit of a(n) is

    Text Solution

    |

  16. Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2. Then which of the follow...

    Text Solution

    |

  17. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

    Text Solution

    |

  18. The last term in the binomial expansion of (2^(1/3) -1/sqrt(2))^n is (...

    Text Solution

    |

  19. Degree of the polynomial (x^(2)-sqrt(1-x^(3)))^(4)+(x^(2)+sqrt(1-x^(3)...

    Text Solution

    |

  20. Coefficient of 1/x in the expansion of (1 + x)^(n) (1 + 1//x)^(n) is

    Text Solution

    |