Home
Class 12
MATHS
If alpha=omega,b=omega^2,c=i, then the v...

If `alpha=omega,b=omega^2,c=i`, then the value of :
`|(a,a+2b,a+2b+3c),(3a,4a+6b,5a+7b+9c),(6a,9a+12b,11a+15b+18c)|` is :

A

`9 a^2(a+b)`

B

`9 b^2(a+b)`

C

`a^2(a+b)`

D

`b^2(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos
  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Prove that {:|( a,a+b,a+b+c) ,( 2a,3a+2b,4a+3b+2c),( 3a,6a+3b,10a+6b+3c)|:}=a^(3)

If a ne 6, b , c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0 , then abc =

Find the value of a,b,c and d from the equation: [(a-b,2a +c),(2a-b, 3c+d)]=[(-1,5),(0,13)]

|(a-b-c, 2a, 2a),(2b, b-c-a,2b),(2c,2c,c-a-b)| = (a + b + c)^(3) .

If omega ne 1 is a cube root of unity such that : (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2omega , then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1) is :

If omega is an imaginary cube root of unity, then the value of |[a,b omega^2,a omega],[b omega,c,b omega^2],[c omega^2, a omega,c]|

Calculate the Miller indices of crystal planes which cut through the crystal axes at (i) (2a, 3b, c) (ii) (a, b, c) (iii) (6a, 3b, 3c) and (iv) (2a, -3b, -3c).

Let Delta=|(a,a+b,a+b+c),(3a,4a+3b,5a+4b+3c),(6a,9a+6b,11a+9b+6c)| where a=i, b=omega,c = omega^2 , then Delta is equal to

Prove that |{:(a-b-c, 2a, 2a), (2b, b-c-a, 2b), (2c, 2c, c-a-b):}|=(a+b+c)^(3)

Length of the median through C of Delta ABC with A(4,9) B(2, 3), and C (6, 5) is

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If a(1), a(2), a(3)"….." are in G.P. , then the value of Delta= |{:(lo...

    Text Solution

    |

  2. If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

    Text Solution

    |

  3. If alpha=omega,b=omega^2,c=i, then the value of : |(a,a+2b,a+2b+3c)...

    Text Solution

    |

  4. The value of Delta=|(1^2,2^2,3^2),(2^2,3^2,4^2),(3^2,4^2,5^2)| is :

    Text Solution

    |

  5. If a=1+2+4+ . . . . upto n terms b=1+3+9+. . . . upto n terms c=1+5...

    Text Solution

    |

  6. If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

    Text Solution

    |

  7. If a, b, c, d, e and f are in G.P, then the value of |[a^2,d^2,x],[b^...

    Text Solution

    |

  8. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

    Text Solution

    |

  9. If a, b, c are all different from zero and Delta= |[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  10. |[x,1,y+z],[y,1,z+x],[z,1,x+y]|=

    Text Solution

    |

  11. If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=

    Text Solution

    |

  12. The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin ...

    Text Solution

    |

  13. If a ne 6, b , c satisfy |(a,2b,2c),(3,b,c),(4,a,b)|=0, then abc =

    Text Solution

    |

  14. If d is the determinant of a square matrix A of order n, then the dete...

    Text Solution

    |

  15. If |[cos(A+B), -sin (A+B), cos 2B],[sinA,cosA,sinB],[-cosA,sin A,cos...

    Text Solution

    |

  16. |[1990,1991,1992],[1991,1992,1993],[1992,1993,1994]|=

    Text Solution

    |

  17. |log e,log e^2,log e^3],[log e^2,log e^3,log e^4],[log e^3,log e^4,log...

    Text Solution

    |

  18. If A=[[a1,b1,c1],[a2,b2,c2],[a3,b3,c3]] and B=[[ c1,c2,c2],[a1,a2,a3]...

    Text Solution

    |

  19. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

    Text Solution

    |

  20. If ||(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c)|=0 then a,b,c are

    Text Solution

    |