Home
Class 11
MATHS
The expression (x+((x^3-1)^(1/2))/2)^5+"...

The expression `(x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5` is a polynomial of degree
a. 5 b. `6` c. `7` d. `8`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

(x+sqrt(x^3-1))^5+(x-sqrt(x^3-1))^5 is a polynomial of degree

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

The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2x^2-1)))^6 is polynomial of degree

Find the degree of theexpansion, {x+(x^(3)-1)^(1//2)}^(5)+{x-(x^(3)-1)^(1//2)}^(5)

The power of x of the expansion [x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(5) will be -

(x-3)(x-5)-(2a+1)/(a^(2))

If a^2+b^2+c^2=-2a n df(x)= |[1+a^2x,(1+b^2)x,(1+c^2)x],[(1+a^2)x,1+b^2x,(1+c^2)x],[(1+a^2)x,(1+b^2)x,1+c^2x]| , then f(x) is a polynomial of degree 0 b. 1 c. 2 d. 3

The value of x for which the sixth term in the expansion of [2^(log)2sqrt(9^(x-1)+7)+1/(2^(1/5)(log)_2(3^((x-1)+1)))]^7 is 84 is a. 4 b. 1or2 c. 0or1 d. 3

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((1+a^(2))x,1+b^(2)x,(1+c^(2))x),((1+a^(2))x,(1+b^(2))x,1+c^(2)x)| then f(x) is a polynomial of degree-

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Prove that (3!)/(2(n+3))=sum(r=0)^n(-1)^r((n Cr)/((r+3)C3))

    Text Solution

    |

  2. Find the 5th term of the GP. 5/2, 1, .....

    Text Solution

    |

  3. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

    Text Solution

    |

  4. Find ((dy) /dx) of sin(cosx) is

    Text Solution

    |

  5. In the binomial expansion of (a-b)^n,ngeq5, the sum of the 5th and 6t...

    Text Solution

    |

  6. Coefficient of x^11 in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^12 i...

    Text Solution

    |

  7. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

    Text Solution

    |

  8. Find the coefficient of x^4 in the expansion of (x//2-3//x^2)^(10)dot

    Text Solution

    |

  9. If Cr stands for nCr, then the sum of the series (2(n/2)!(n/2)!)/(n...

    Text Solution

    |

  10. If the sum 1+2+2^2+......+2^(n-1)is 255, then find the number of ter...

    Text Solution

    |

  11. The coefficient of X^24in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

    Text Solution

    |

  12. Find the sum of the GP 1+3+9+27+........ 12terms

    Text Solution

    |

  13. The coefficient of x^(53) in the expansion of sum(m=0)^(100) ^100Cm(x-...

    Text Solution

    |

  14. The coefficient of the term independent of x in the expansion of [((x+...

    Text Solution

    |

  15. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is a..^...

    Text Solution

    |

  16. If coefficient of a^(2)b^(3)c^(4) in (a+b+c)^(m) (where m in N) is L (...

    Text Solution

    |

  17. The last two digits of the number 3^(400) are: (A) 81 (B) 43 (C) ...

    Text Solution

    |

  18. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

    Text Solution

    |

  19. A GP has common ratio 3, last term 486, if the sum of its terms is 728...

    Text Solution

    |

  20. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2+.....+a(20)x^(20),t h e na1 equals a....

    Text Solution

    |