Home
Class 12
MATHS
If the sum of the coefficients in the ex...

If the sum of the coefficients in the expansion of `(a+b)^n` is 4096, then the greatest coefficient in the expansion is `924` b. `792` c. `1594` d. none of these

A

792

B

924

C

1594

D

2990

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 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

If the sum of the coefficients in the expansion of (x+y)^(n) is 4096, then the greatest coefficient in the expansion is

If the sum of the coefficients in the expansion of (x +y)^(n) is 2048, then the greatest coefficient in the expansion is:

Knowledge Check

  • If the sum of the coefficients in the expansion of (p+q)^(n) is 1024, then the greatest coefficient in the expansion is

    A
    `""^(10) C_5`
    B
    `""^(10) C_4`
    C
    `""^(10) C_(2)`
    D
    None of these
  • If sum of the coefficients in the expansion of (x + y)^(n) is 2048, then the greatest coefficient in the expansion is:

    A
    `""^(10)C_(6)`
    B
    `""^(11)C_(6)`
    C
    `""^(10)C_(7)`
    D
    `""^(12)C_(6)`
  • If the sum of the coefficients in the expansion of (1 + 2x)^(n) is 6561 , then the greatest coefficients in the expansion, is

    A
    896
    B
    3594
    C
    1792
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    If the sum of the coefficients in the expansion of (1+2x)^(n) is 6561 ,then the greatest coefficient in the expansion is

    If the sum of the coefficients in the expansion of (a+b)^(n) is 4096, then the greatest coefficient in the expansion is 924 b.792c 1594d.none of these

    lf the sum of the coefficients in the expansion of (x + y)^n is 4096, then the greatest coefficient in the expansion is __________.

    If sum of the coefficients in the expansion of (1+3x)^(n) is 4096, find n and the greatest coefficient in the expansion.

    If the sum of the coefficient in the expansion of x+y^n is 1024, then the value of the greatest coefficient in the expansion is :