Home
Class 11
MATHS
If .^(20)C(1)+(2^(2)).^(20)C(2)+(3^(2))....

If `.^(20)C_(1)+(2^(2)).^(20)C_(2)+(3^(2)).^(20)C_(3)+……..+(20^(2)).^(20)C_(20)=A(2^(beta))` then the ordered pair `(A,beta)` is equal to

A

(420,18)

B

(380,19)

C

(380,18)

D

(380,18)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (J-A)|5 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -1|2 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE (S-2)|6 Videos
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|106 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

sec^(2)(20)-tan^(2)(20) is

The sum of the series .^(20)C_(0)-.^(20)C_(1)+ .^(20)C_(2)-.^(20)C_(3)+...-.+ .^(20)C_(10) is -

let 2..^(20)C_(0)+5.^(20)C_(1)+8.^(20)C_(2)+?.+62.^(20)C_(20) . Then sum of this series is

The value of .^(20)C_(0)+.^(20)C_(1)+.^(20)C_(2)+.^(20)C_(3)+.^(20)C_(4)+.^(20)C_(12)+.^(20)C_(13)+.^(20)C_(14)+.^(20)C_(15) is

(C_(1))/(C_(0))+(2.C_(2))/(C_(1))+(3.C_(3))/(C_(2))+ . . .+(20.C_(20))/(C_(19))=

Evaluate: .^(20)C_(5)+^(20)C_(4)+^(21)C_(4)+^(22)C_(4)

If a= .^(20)C_(0) + .^(20)C_(3) + .^(20)C_(6) + .^(20)C_(9) + "…..", b = .^(20)C_(1) + .^(20)C_(4) + .^(20)C_(7) + "……"' and c = .^(20)C_(2) + .^(20)C_(5) + .^(20)C_(8) + "…..", then Value of a^(3) + b^(3) + c^(3) - 3abc is

If Sigma_(i=1)^(20) ((""^(20)C_(i-1))/(""^(20)C_(i)+""^(20)C_(i-1)))^(3)=(k)/(21) , then k equals

If a= ^(20)C_(0) + ^(20)C_(3) + ^(20)C_(6) + ^(20)C_(9) + "…..", b = ^(20)C_(1) + ^(20)C_(4) + ^(20)C_(7) + "… and c = ^(20)C_(2) + ^(20)C_(5) + ^(20)C_(8) + "…..", then Value of (a-b)^(2) + (b-c)^(2) + (c-a)^(2) is

The sum ""^(20)C_(0)+""^(20)C_(1)+""^(20)C_(2)+……+""^(20)C_(10) is equal to :

ALLEN-Solutions of Triangle & Binomial Theorem-EXERCISE (J-M)
  1. The sum of coefficient of integral powers of x in the binomial expansi...

    Text Solution

    |

  2. The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...

    Text Solution

    |

  3. The sum of the co-efficients of all odd degree terms in the expansion ...

    Text Solution

    |

  4. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  5. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  6. The sum of the real values of x for which the middle term in the binom...

    Text Solution

    |

  7. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  8. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  9. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  10. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  11. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  12. The sum of the series .^(20)C(0)-.^(20)C(1)-.^(20)C(2)-.^(20)C(3)+…+,....

    Text Solution

    |

  13. If some three consecutive coefficeints in the binomial expanison of (x...

    Text Solution

    |

  14. If the coefficients of x^(2) and x^(3)are both zero, in the expansion ...

    Text Solution

    |

  15. The smallest natural number n, such that the coefficient of x in the e...

    Text Solution

    |

  16. If .^(20)C(1)+(2^(2)).^(20)C(2)+(3^(2)).^(20)C(3)+……..+(20^(2)).^(20)C...

    Text Solution

    |

  17. The term independent of x in the expansion of (1/60-(x^(8))/81).(2x^(...

    Text Solution

    |