Home
Class 12
MATHS
[(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(...

`[(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]=`

A

`[ax^(2)+by^(2)+cz^(2)+2hxy+2gxz+2fyz]`

B

`[ax^(2)+by^(2)+cz^(2)+hxy+gxz+fyz]`

C

`[2ax^(2)+2by^(2)+2cz^(2)+hxy+gxz+fyz]`

D

`[2ax^(2)+2by^(2)+2cz^(2)+2hxy+2gxz+2fyz]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B MCQ (DETERMINANTS)|189 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 MCQ (SPECIAL TYPES QUESTIONS) SET -4|8 Videos

  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

|(a,h,g),(h,b,f),(g,f,c)|=

Find the determinant of the matrix [(a,h,g),(h,b,f),(g,f,c)]

Find the determinant of the matrix [{:(a,h,g),(h,b,f),(g,f,c):}]

If A=("x y"),B=((a,h),(h,b)),C=((x),(y)) then ABC=

If f_(r)(x),g_(r)(x),h_(r)(x),r=1,2,3 are polynomials in x such that f_(r)(a)=g_(r)(a)=h_(r)(a),r=1,2,3 and F(x)=|(f_(1)(x),f_(2)(x),f_(3)(x)),(g_(1)(x),g_(2)(x),g_(3)(x)),(h_(x),h_(2)(x),h_(3)(x))| , then F'(x) at x=a is

Using the property of determinants and without expanding {:[( x,a,x+a),( y,b,y+b),(z,c,z+c)]:} =0

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

    Text Solution

    |

  2. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

    Text Solution

    |

  3. [(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]=

    Text Solution

    |

  4. If A=[(2),(0),(1)],B-[(4,-2,5)],C=[(0,1),(1,0),(-1,1)] then ABC=

    Text Solution

    |

  5. If [[x,4,-1]][(2,1,0),(1,0,2),(0,2,4)][(x),(4),(-1)]=0 then x=

    Text Solution

    |

  6. If A=[(x,1),(1,0)] and A^(2)=I then x=

    Text Solution

    |

  7. If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (...

    Text Solution

    |

  8. If A=[(4,1,0),(1,-2,2)],B=[(2,0,-1),(3,1,4)],C=[(1),(2),(-1)] and (3B-...

    Text Solution

    |

  9. If A,b are two square matrices such that AB=A,BA=B then A,B are

    Text Solution

    |

  10. If A,B are two idempotent matrices and AB=BA=O then A+B is

    Text Solution

    |

  11. If A and B are square matrices of size nxxn such that A^(2)-B^(2)=(A-B...

    Text Solution

    |

  12. If a=[(1,2,3),(2,4,5),(x,5,6)] and A^(T)=A then x=

    Text Solution

    |

  13. If A=[(x,1,4),(-1,0,7),(-4,-7,0)] such that A'=-A then x=

    Text Solution

    |

  14. If A=[(0,1,-2),(-1,0,3),(2,-3,0)] then A+A^(T)=

    Text Solution

    |

  15. If A=[(1,-1,2),(2,1,-3),(-2,1,2)],B=[(2,1,0),(2,-3,1),(1,1,-1)] then (...

    Text Solution

    |

  16. If A=[(1,2,3)],B=[(2),(3),(-1)] then (A+B^(T))^(T)=

    Text Solution

    |

  17. If A=[(1),(0),(-1)],B=[(2,3,2)] then (A+B^(T))^(T)=

    Text Solution

    |

  18. If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

    Text Solution

    |

  19. If A=[(1,5,3),(2,4,0),(3,-1,-5)] and B=[(2,-1,0),(0,-2,5),(1,2,0)] the...

    Text Solution

    |

  20. If A+2B=[(2,-4),(1,6)], B^T=[(1,2),(0,-1)] then A=

    Text Solution

    |