Home
Class 12
MATHS
Let a, b, c be such that b(a""+""c)!=...

Let a, b, c be such that `b(a""+""c)!=0` . If `|a a+1a-1-bb+1b-1cc-1c+1|+|a+1b+1c-1a-1b-1c+1(-1)^(n+2)a(-1)^(n+1)b(-1)^n c|=0` then the value of n is (1) zero (2) any even integer (3) any odd integer (4) any integer

A

zero

B

any even integer

C

any odd integer

D

any integer

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-3|31 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1),(c,c-1,c+1)|+|(a+1,b+1,c-1),(a-1, b-1,c+1),((-1)^(n+2)a , (-1)^(n+1)b,(-1)^n c)|=0 , then the value of 'n' is :

If (12^(n)+1)backslash is divisible by 13, then n is (a) 1 only (b)12 only (c) any odd integer (d) any even integer

Find the value of (-1)^(n)+(-1)^(2n)+(-1)^(2n_1)+(-1)^(4n+2) , where n is any positive and integer.

If the number (1-i)^n/(1+i)^(n-2) is real and positive then n is (a) Any Integer (b) Any odd Integer (c) Any even Integer (d) None of these

Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

RESONANCE-MATRICES & DETERMINANT-PART-II:
  1. Let A be 2 x 2 matrix.Statement I adj (adj A) = A Statement II |adj ...

    Text Solution

    |

  2. Let a, b, c be such that b(a""+""c)!=0 . If |a a+1a-1-bb+1b-1cc-1c...

    Text Solution

    |

  3. The number of 3 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  4. Let A be a 2 xx 2 matrix with non-zero entries and let A^2=I, where i ...

    Text Solution

    |

  5. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  6. Let A and B be two symmetric matrices of order 3. Statement-1 : A(BA) ...

    Text Solution

    |

  7. The number of values of k for which the linear equations 4x""+""k y""+...

    Text Solution

    |

  8. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

    Text Solution

    |

  9. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  10. Statement -1 : Determinant of a skew-symmetric matrix of order 3 is ze...

    Text Solution

    |

  11. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  12. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

    Text Solution

    |

  13. The number of values of k, for which the system of eauations: (k+1)x...

    Text Solution

    |

  14. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

    Text Solution

    |

  15. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  16. If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=...

    Text Solution

    |

  17. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

    Text Solution

    |

  18. The set of the all values of lamda for which the system of linear equa...

    Text Solution

    |

  19. The system of linear equations: x+lambday-z=0 lamdax-y-z=0 x+y-l...

    Text Solution

    |

  20. If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to

    Text Solution

    |