Home
Class 11
MATHS
Write the number of terms in the expansi...

Write the number of terms in the expansion of `(2+sqrt(3)x)^(10)+(2-sqrt(3)x)^(10)dot`

Text Solution

Verified by Experts

Number of terms in the `(x+y)^{n}+(x-y)^{n}` where `n` is even `=(frac{n}{2}+1)`
Thus, we have:
Number of terms `=(frac{10}{2}+1)=6`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos
  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

Write the number of terms in the expansion of (sqrt(2)+1)^(5)+ (sqrt(2) - 1)^(5).

The number of terms in the expansion of (1+7sqrt(2x))^9+(1-7sqrt(2x))^9 is

What is the number of non-zero terms in the expansion of (1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11) (after simplification)?

write number of terms in the expansion of {(2x+y^(3))^(4))}^(7)

Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^(9)+(1-3sqrt(2)x)^(9)

Find the number of terms in the expansion of (x+sqrt(x^(2)-1))^(6)+(x-sqrt(x^(2)-1))^(6)

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find a, b and n in the expansion of (a+b)^n if the first three t...

    Text Solution

    |

  2. If p is a real number and if the middle term in the expansion of (p/2+...

    Text Solution

    |

  3. Write the number of terms in the expansion of (2+sqrt(3)x)^(10)+(2-sqr...

    Text Solution

    |

  4. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

    Text Solution

    |

  5. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

    Text Solution

    |

  6. If a\ a n d\ b denote respectively the coefficients of x^m a n d\ x^n ...

    Text Solution

    |

  7. Write the middle term in the expansion of (x+1/x)^(10)dot

    Text Solution

    |

  8. If a\ a n d\ b denote the sum of the coefficients in the expansions of...

    Text Solution

    |

  9. Write the coefficient of the middle term in the expansion of (1+x)^(2n...

    Text Solution

    |

  10. Find the sum of the coefficient of two middle terms in the binomial ...

    Text Solution

    |

  11. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

    Text Solution

    |

  12. The total number of terms in the expansion of (x+a)^100+(x-a)^100 is:

    Text Solution

    |

  13. If (1-x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n),\ find the value of a0+a2+a4...

    Text Solution

    |

  14. If the rth term in the expansion of (1+x)^20 has its coefficient equal...

    Text Solution

    |

  15. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

    Text Solution

    |

  16. If rth term in the expansion of (2x^2-1/x)^(12) is without x then r is...

    Text Solution

    |

  17. If in the expansion of (a+b)^n\ a n d\ (a+b)^(n+3) , the ratio of the...

    Text Solution

    |

  18. If A and B are the sums of odd and even terms respectively in the expa...

    Text Solution

    |

  19. The number of irrational terms in the expansion of (4^(1/5)+7^(1/10))...

    Text Solution

    |

  20. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

    Text Solution

    |