Home
Class 12
MATHS
Let a,b and c be such that (b+c) ne 0 ...

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 :

A

any odd intetger

B

any integer

C

zero

D

any even integer

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

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

Prove: |(1,a, b c),(1,b ,c a),(1,c ,a b)|=|(1,a ,a^2),( 1,b,b^2),( 1,c,c^2)|

Find |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}|

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

  2. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

  3. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  4. If a, b, c are positive and unequal, show that value of the determinan...

    Text Solution

    |

  5. Statement 1: The system of linear equations x|(sinalpha)y+(cos alpha...

    Text Solution

    |

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

    Text Solution

    |

  7. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  8. Let fori 1, 2, 3, pi(x) be a polynomial ofdegree 2 in x1 pi (x) and ...

    Text Solution

    |

  9. If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),...

    Text Solution

    |

  10. If Deltar=|(r,2r-1,3r+2),(n/2,n-1,a),(1/2n(n-1),(n-1)^2,1/2(n-1)(3n+4...

    Text Solution

    |

  11. The set of all values of lambda for which the system of linear equat...

    Text Solution

    |

  12. If |(x^2+x,x+1,x-2),(2x^2+3x-1,3x,3x-3),(x^2+2x+3,2x-1,2x-1)|=ax-12 t...

    Text Solution

    |

  13. The least value of the product xyz for which the determinant |(x,1,1)...

    Text Solution

    |

  14. The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x...

    Text Solution

    |

  15. The number of distinct real roots of the equation, |(cos x, sin x , si...

    Text Solution

    |

  16. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |

  17. Let omega be a complex number such that 2omega+1=z where z=sqrt(-3). I...

    Text Solution

    |

  18. The number of real values of lambda for which the system of linear equ...

    Text Solution

    |

  19. If S={x epsilon [0,2pi]:|(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)|=0...

    Text Solution

    |

  20. If |(x-4,2x,2x),(2x,x-4,2x),(2x,2x,x-4)|=(A+Bx)(x-A)^2 then the ordere...

    Text Solution

    |