Home
Class 12
MATHS
The binomial expansion of (x^(k)+(1)/(x...

The binomial expansion of `(x^(k)+(1)/(x^(2k)))^(3n), n in N` contains a term independent of x

A

only if k is an integer

B

only if k is a natural number

C

only if k is rational

D

for any real k

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems (SECTION - D : NGT )|2 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems ( SECTION - E & F : PROBLEMS BASED ON BINOMIAL COEFFICIENT & COLLECTION OF BINOMIAL COEFFICIENT )|6 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise - 1 Objective Problems ( SECTION - B : MIDDLE TERM )|4 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

If the expansion of (x - (1)/(x^(2)))^(2n) contains a term independent of x, then n is a multiple of 2.

If the expansion (x^(3)+(1)/(x^(2)))^(n) contains a term independent of x, then the value of n, can be __________

If the expansion (2x^(5)+(1)/(3x^(4)))^(n) contains a term independent of x, then the value of n can be ___________

If the expansion of (3/7sqrtx-5/2(1)/(xsqrtx))^(13n) xgt0 contains a term independent of x, then n should be a multiple of ______

The number of terms in the expansion of (x^(2)+1+(1)/(x^(2)))^(n),n in N, is:

If the constant term in the binomial expansion of (x^(2)-(1)/(x))^(n),n in N is 15, then the value of n is equal to.

Sum of the binomial coefficients in the expansion of ((2x)/(3)+(3)/(2nx^(2)))^(n) is equal to 64. The term independent of x is

If the sum of the binomial coeffiients in the expansion of (x^(2) + (2)/(x^(3)))^(n) is 243 , the term indepandent of x is equal to

The fourth term in the binomial expansion of (x^2 - (1)/(x^3) )^n is independent of x , when n is equal to