Home
Class 12
MATHS
The number of terms in the expansion of ...

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

A

`""^(n+2)C_(2)`

B

`""^(n+3)C_(2)`

C

`""^(2n+1)C_(2n)`

D

`""^(3n+1)C_(3n)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

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

Statement-1 The number of terms in the expansion of (x + (1)/(x) + 1)^(n) " is " (2n +1) Statement-2 The number of terms in the expansion of (x_(1) + x_(2) + x_(3) + …+ x_(m))^(n) "is " ^(n + m -1)C_(m-1) .

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

n th term in the expansion of (x+(1)/(x))^(2n)

If the number of terms in the expansion of (1+x)^(101)(1+x^(2)-x)^(100) is n, then the value of (n)/(25) is euqal to

The number of distinct terms in the expansion of (x^(3)+ 1 + (1)/(x^(3)))^(n) , x in R^(+) and a in N , is