Home
Class 12
MATHS
Express: ((x+sqrt(x^2+1)^6+ (x-sqrt(x^2+...

Express: `((x+sqrt(x^2+1)^6+ (x-sqrt(x^2+1))^6` as a polynomial in x

A

6

B

7

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|10 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions)|10 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Simplify: (x+sqrt(x-1))^6+(x-sqrt(x-1))^6

Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6 is alpha and beta then alpha-beta is equal to

The expression (sqrt(2x^(2)+1)+sqrt(2x^(2)-1))^(6)+((2)/((sqrt(2x^(2)+1)+sqrt(2x^(2)-1))^(square)))^(6) is polynomial of degree 6 b.8 c.10 d.12

The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) - (( 1- sqrt ( 3x +1))/(2))^(7)] is a polynomial in x of degree eual to

Solve (sqrt2+1)^x +(sqrt2-1)^x = 6 .

If alpha and beta be the coefficients of x^6 and x^2 respectively in the expansion of (x+sqrt(x^2 -1))^6+(x-sqrt(x^2 -1))^6 , then

sqrt(x-6)-sqrt(10-x)>=1

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. find the sum of the series sum(r=0)^n(-1)^r *"^nCr[1/(2^r)+(3^r)/(2^(...

    Text Solution

    |

  2. The value of .^(n)C(0).^(n)C(n).^(n)C(1).^(n)C(n-1)+...+.^(n)C(n)....

    Text Solution

    |

  3. Express: ((x+sqrt(x^2+1)^6+ (x-sqrt(x^2+1))^6 as a polynomial in x

    Text Solution

    |

  4. The number of distinct terms in the expansion of (1+ 3x + 3x^(2) + x^(...

    Text Solution

    |

  5. If x > 0, then the number of positive real terms in the expansion of (...

    Text Solution

    |

  6. The total number of terms which depand on the value of x in the ex...

    Text Solution

    |

  7. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

    Text Solution

    |

  8. Let R =(sqrt2+1)^(2n+1),ninN and f= R- [R], where [] denote the greate...

    Text Solution

    |

  9. The coefficient of x^(60) in (1+x)^(51)(1-x+x^(2))^(50) is

    Text Solution

    |

  10. Which is larger : (99^(50)+100^(50)) or (101)^(50).

    Text Solution

    |

  11. (1+x-2x^2)^6=sum(r=0)^12 ar x^r then a2+a4+..... +a12=

    Text Solution

    |

  12. The sum of the coefficients in the expansion of (1 +x-3x^(2))^(4321) i...

    Text Solution

    |

  13. The greatest integer contained in (sqrt3+1)^(6) is

    Text Solution

    |

  14. The number of terms in the expansion of (x^(2)+6x+9)^(30) is

    Text Solution

    |

  15. The expansion of (x + y + z)^(n) is given by

    Text Solution

    |

  16. The number of terms in the expansion of (x + y + x)^(10), is

    Text Solution

    |

  17. Statement-1 The number of terms in the expansion of (x + (1)/(x) +...

    Text Solution

    |

  18. Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx...

    Text Solution

    |

  19. If x+y= 1, then value of sum(r=0)^(n)(r)(""^(n)C(r))x^(n-r)y^(r) is

    Text Solution

    |

  20. If sum of the coefficients in the expansion of (x+1/x)^(n) is 128, the...

    Text Solution

    |