Home
Class 12
MATHS
If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| "...

If `D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0`, then D is divisible by

A

divisible by neither x nor y

B

divisible by both x and y

C

divisible by x but not y

D

divisible by y but not x

Text Solution

Verified by Experts

The correct Answer is:
B
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

If D = |{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

If D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, y!=0 then D is (1) divisible by neither x nor y (2) divisible by both x and y (3) divisible by x but not y (4) divisible by y but not x

if x ne 0 , y ne 0 ,z ne 0 " and " |{:(1+x,,1,,1),(1+y,,1+2y,,1),(1+z,,1+z,,1+3z):}|=0 then x^(-1) +y^(-1) +z^(-1) is equal to

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , find x ,\ y\ a n d\ z .

If A=[(1,x),(x^(2),4y)] and B=[(-3,1),(1,0)], adj(A)+B=[(1,0),(0,1)] then the values of x and y are

If [(1,2,-3),(0,4,5),(0,0,1)][(x),(y),(z)]=[(1),(1),(1)] , then (x, y, z) is equal to

If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , find x ,\ y\ a n d\ z .

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  2. The value of |alpha| for which the system of equation alphax+y+z=...

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |