Home
Class 12
MATHS
prove that [ [a-b-c , 2a , 2a ] , [2b , ...

prove that `[ [a-b-c , 2a , 2a ] , [2b , b-c-a , 2b ] ,[2c ,2c,c-a-b]]`= `(a+b+c)^3`

A

`-(a+b+c)`

B

`2(a+b+c)`

C

abc

D

`-2(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Solve the determinant using properties |[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]| = (a+b+c)^3

det[[ prove that ,2aa-b-c,2a,2a2b,b-c-a,2b2c,2c,c-a-b]]=(a+b+c)^(3)

evaluate: |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

Prove that |[a^2, a^2-(b-c)^2, bc],[b^2, b^2-(c-a)^2, ca],[c^2, c^2-(a-b)^2, ab]|=(a-b)(b-c)(c-a)(a+b+c)(a^2+b^2+c^2)

If |(a-b-c, 2a, 2a),(2b, b-a-c, 2b),(2c, 2c, c-a-b)|=(a+b+c)(x+a+b+c^2) then thhe value of x is equal to (A) -2(a+b+c) (B) a+b+c (C) -(a+b+c) (D) 2(a+b+c)

CENGAGE-JEE 2019-MCQ
  1. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  2. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  3. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

  4. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

    Text Solution

    |

  5. prove that [ [a-b-c , 2a , 2a ] , [2b , b-c-a , 2b ] ,[2c ,2c,c-a-b]]=...

    Text Solution

    |

  6. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  7. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  8. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  9. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  10. Let d in R and A= ((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sinthet...

    Text Solution

    |

  11. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

    Text Solution

    |

  12. Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] If A A^T=I3 then |p|=

    Text Solution

    |

  13. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

    Text Solution

    |

  14. Let P=[[1,0,0],[4,1,0],[16,4,1]]and I be the identity matrix of order ...

    Text Solution

    |

  15. If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)], then ...

    Text Solution

    |

  16. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  17. An urn contains 5 red and 2 green balls. A ball is drawn at random fro...

    Text Solution

    |

  18. An unbiased coin is tossed. If the result is a head, a pair of unbi...

    Text Solution

    |

  19. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  20. In a random experiment, a fair die is rolled until two fours are obtai...

    Text Solution

    |