Home
Class 12
MATHS
[(^n C0+^n C3+)1//2(^n C1+^n C2+^n C4+^n...

`[(^n C_0+^n C_3+)1//2(^n C_1+^n C_2+^n C_4+^n C_5]^2+3//4(^n C_1-^n C_2+^n C_4-^n C_5+)^2=` `3` b. `4` c. `2` d. `1`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)|120 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

[(^(n)C_(0)+^(n)C_(3)+...)1/2(^(n)C_(1)+^(n)C_(2)+^(n)C_(4)+^(n)C_(5)...]^(2)+3/4(^(n)C_(1)-^(n)C_(2)+^(n)C_(4)-^(n)C_(5)+...)^(2)=3b.4c.2d.1

The value of |1 1 1\ ^n C_1\ ^(n+2)C_1\ ^(n+4)C_1\ ^n C_2\ ^(n+2)C_2\ ^(n+4)C_2| is (a) 2 (b) 4 (c) 8 (d) n^2

If n=5 ,then ("^n C_0)^(2) + ("^n C_1)^(2) + ("^n C_2)^(2) +......+ ("^n C_5)^(2) is equal to

2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1)

Prove : C_0 + 1/3C_2 + 1/5 C_4 + 1/7 C_6 + ………… = (2^n)/(n+1)

If ^(n+1)C_(3)=2.quad ^(n)C_(2) then =3 b.4c.6d.5

(1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + C_(3) x^(3) + … + C_(n) x^(n) , prove that C_(0) - 2C_(1) + 3C_(2) - 4C_(3) + … + (-1)^(n) (n+1) C_(n) = 0

If (1+x)^n=C_0+C_1x+C_2x^2+…+C_nx^n show that C_1-2C_2+3C_3-4C_4+…+(-1)^(n-1) n.C_n=0 where C_r=^nC_r .

FIITJEE-MATHEMATICS TIPS-NUMERICAL DECIMAL BASED QUESTIONS
  1. [(^n C0+^n C3+)1//2(^n C1+^n C2+^n C4+^n C5]^2+3//4(^n C1-^n C2+^n C4-...

    Text Solution

    |

  2. If in an A.P. a(7)=9 and if a(1)a(2)a(7) is least, then common differ...

    Text Solution

    |

  3. If x, y, z are positive real numbers, then minimum value of (z)/(x+y)+...

    Text Solution

    |

  4. If the difference of the roots of the equation x^(2)-5x+6=0 is same as...

    Text Solution

    |

  5. The minimum value of 'a' for which a^(2)x^(2)+(2a-1)x+1 is non-negativ...

    Text Solution

    |

  6. The minimum value of the expression [3x^(2)+4x+5] (where [.] greatest ...

    Text Solution

    |

  7. Let lambda be real. If. The origin and the complex roots of 2z^(2)+2z+...

    Text Solution

    |

  8. The equation |z-i|+|z+i|=k, k gt 0 can represent an ellipse, if k=

    Text Solution

    |

  9. For |z-1|=1, i tan(("arg"(z-1))/(2))+(2)/(z) is equal to

    Text Solution

    |

  10. The sum of the rational terms in the expansion of (sqrt(2)+ root(5...

    Text Solution

    |

  11. Find out the sum of the coefficients in the expansion of the binomial ...

    Text Solution

    |

  12. A fair coin is tossed 100 times. The probability of getting tails an ...

    Text Solution

    |

  13. The probabilities of two events are 0.25 and 0.50. The total probabili...

    Text Solution

    |

  14. Let A=[{:(x^(2),6,8),(3,y^(2),9),(4,5,z^(2)):}],B=[{:(2x,3,5),(2,2y,6)...

    Text Solution

    |

  15. The number of non-zero diagonal matrices of order 4 satisfying A^(2)=A...

    Text Solution

    |

  16. Find the following system of equations is consistent, (a+1)^3x+(a+2...

    Text Solution

    |

  17. The maximum value of determinant |{:(cos(alpha+beta),sin alpha,-cos al...

    Text Solution

    |

  18. If x+y+z=10, where x,y,z in N. Find the number of solutions of triplet...

    Text Solution

    |

  19. The figures 4, 5, 6, 7, 8 are written in every possible order. The num...

    Text Solution

    |

  20. If a^(2)+b^(2)+c^(2)=1 where, a,b,cin R, then the maximum value of (4a...

    Text Solution

    |

  21. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

    Text Solution

    |