Home
Class 12
MATHS
If the coefficients of x^7 and x^8 in ...

If the coefficients of `x^7 and x^8` in the expansion of `[2 +x/3]^n` are equal, then the value of n is : (A) 15 (B) 45 (C) 55 (D) 56

A

15

B

45

C

55

D

56

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems ( SECTION - B : MIDDLE TERM )|4 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems ( SECTION - C TERM INDEPENDENT OF X )|2 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos
  • CIRCLE

    MOTION|Exercise Exercise - 4 | Level - II (Previous Year | JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(n) in the expansion of e^(2x+3) is

The coefficient of x^n in the expansion of (x^2+1/x)^(2n) is

Knowledge Check

  • If the three consecutive coefficients in the expansion of (1 + x)^(n) are 28, 56 and 70, then the value of n is

    A
    6
    B
    4
    C
    8
    D
    10
  • The coefficient of x^(n) in the expansion of log_(e) (1 + 3x + 2x^(2)) is equal to

    A
    `(-1)^(n) ((2^(n) +1)/(n))`
    B
    `((-1)^(n+1))/(n) (2^(n)+1)`
    C
    `(2^(n) + 1)/(n)`
    D
    none of these
  • If the coefficient of x^4 in the expansion of (1+x^2)^n is 10, then n = ?

    A
    3
    B
    2
    C
    4
    D
    5
  • Similar Questions

    Explore conceptually related problems

    If the coefficients of x^(7) and x^(8) are equal in the expansion of (2 + (x)/(3 ) )^(n) , then n=

    in If the coefficient of x^(r) and x^(r+1) are equal in the expansion of (1+x)^(2n+1), then find the value of r.

    The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/(e^(3x)) is

    If the coefficients of x^(7) and x^(8) are equal in (2+ (x)/(3))^(n) then n is

    The coefficient of x^(7) in the expansion of (1-x-x^(3)+x^(4))^(8) is equal to