Home
Class 11
MATHS
The number of distinct terms in the expa...

The number of distinct terms in the expansion of `(x^3+1+(1/x^3))`: `xinK^+` and `ninN` is

A

2n

B

3n

C

2n+1

D

3n+1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos
  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

The number of terms in the expansion of (x+1/x)^29 is

The number of distinct terms in the expansion of is (x^(3)+(1)/(x^(3))+1)^(n) is (a) 2n (b) 3n (c) 2n+1 (d) 3n+1

The number of terms in the expansion of (x-(2)/(3x))^(11) is -

The number of distinct terms in the expansion of (x+1/x+x^2+1/(x^2))^(15) is/are (with respect to different power of x is a) 255 b. 61 c. 127 d. none of these

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

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

The number of distinct terms in the expansion of (x+y^(2))^(13)+(x^(2)+y)^(14) is (a) 27 (b) 29 (c) 28 (d) 25

Find the constant term in the expansion of (x-1/x)^6dot

Determine: nth term in the expansion of (x+1/x)^(2n)

The number of terms in the expansion of (a+b+c)^n where ninN is

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

    Text Solution

    |

  2. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

    Text Solution

    |

  3. The number of distinct terms in the expansion of (x^3+1+(1/x^3)): xinK...

    Text Solution

    |

  4. The number of integral of integral terms in the expansion of (17^(1/3)...

    Text Solution

    |

  5. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

    Text Solution

    |

  6. The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40)is

    Text Solution

    |

  7. The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2...

    Text Solution

    |

  8. The coefficient of x^(65) in the expansion of (1+x)^(131)(x^2-x+1)^(30...

    Text Solution

    |

  9. Remainder when 5^(40) is divided by 11.

    Text Solution

    |

  10. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

    Text Solution

    |

  11. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

    Text Solution

    |

  12. In the expansion of (x+(a/x^2))^n, (ane0) if term independent of x doe...

    Text Solution

    |

  13. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

    Text Solution

    |

  14. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

    Text Solution

    |

  15. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

    Text Solution

    |

  16. The coefficient of the middle term in the expansion of (1+x)^(2n) is

    Text Solution

    |

  17. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

    Text Solution

    |

  18. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

    Text Solution

    |

  19. Which of the following will not be true?

    Text Solution

    |

  20. Consider following two infinite series in real r and 0 C=1+rcostheta...

    Text Solution

    |