Home
Class 12
MATHS
The value of Delta=|(1^2,2^2,3^2),(2^2,3...

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

A

8

B

`-8`

C

400

D

1

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

The value of the determine : Delta=|(1!,2!,3!),(2!,3!,4!),(3!,4!,5!)| is :

Evaluate Delta = {:[(3,2,3) ,( 2,2,3),( 3,2,3)]:}

|[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(2),6^(2)],[4^(2) ,5^(2), 6^(2) ,7^(2)]|

Inverse [ (1,2,3),(2,3,4),(3,4,6)] is :

The value of |(1,1,1),((2^x+2^(-x))^2,(3^x+3^(-x))^2,(5^x+5^(-x))^2),((2^x-2^(-x))^2,(3^x-3^(-x))^2,(5^x-5^(-x))^2)| is :

Find the value of (1/2)^-2 + (1/3)^-2 + (1/4)^-2

Expand |{:(1,2,3),(4,6,2),(5,9,4):}|

The value of |[2 , 3, 1],[-3,-1, -4],[-2,-5,-3]|=

Evaluate: |(2,4,5),(5,7,3),(2,4,5)|

If the coordinates of the vertices of a triangle ABC be A(-1,3,2), B(2,3,5), C(3,5,-2) then hat A =

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. 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

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. |[1990,1991,1992],[1991,1992,1993],[1992,1993,1994]|=

    Text Solution

    |

  16. |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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. 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

    |

  20. The constant term of the polynomial |(x+3,x,x+2),(x,x+1,x-1),(x+2,2x,3...

    Text Solution

    |