Home
Class 11
MATHS
if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,...

if`|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc)`.Then k is:

A

2

B

8

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|18 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|39 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos

Similar Questions

Explore conceptually related problems

Show that |(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=8abc

Using properties of determinants Prove that |{:(a+b+c,,-c,,-b),(-c,,a+b+c,,-a),( -b,,-a,,a+b+c):}| = 2 (a+b) (b+c) (c+a)

" if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+a),(c+a,,a+b,,b+c):}|=k |{:(a,,b,,c),(c,,a,,b),(b,,c,,a):}| then the value of k is

Prove that {:[( b+c,a,a), ( b,c+a,b),( c,c,b+a) ]:}

If |{:(a,b,a),(b,c,1),(c,a,1):}|=2010 and if |{:(c-a,c-b,ab),(a-b,a-c,bc),(b-c,b-a,ca):}|-|{:(c-a,c-b,c^(2)),(a-b,a-c,a^(2)),(b-c,b-a,b^(2)):}|=p , then the number of positive divisors of p is

If |(a,b-c,b+c),(a+c,b,c-a),(a-b,a+b,c)|=0 then the line ax+by+c=0 passes through the fixed point which is

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

Let a+b+c =s and |{:(s+c,,a,,b),(c,,s+a,,b),(c,,a,,s+b):}|=532 then the value of s is "____"

Show that |(b+c,a,a^(2)),(c+a,b,b^(2)),(a+b,c,c^(2))|=(a+b+c)(a-b)(b-c)(c-a)

PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
  1. |((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),...

    Text Solution

    |

  2. Evaluate |(45,71,26),(35,-21,14),(77,50,40)|:

    Text Solution

    |

  3. if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc).Then k is:

    Text Solution

    |

  4. The area ofDelta with vertices (-2,-3),(3,2),and (-1,x).Then x is:

    Text Solution

    |

  5. Which of the followinf is not true about the matrix[(5,0,0),(0,0,0),(0...

    Text Solution

    |

  6. The matrix is [(4,3,1),(0,2,3),(0,0,-2)]is:

    Text Solution

    |

  7. If |(3x+4y,-3),(2,x+2y)|=|(7,-3),(2,3)|then x and y are

    Text Solution

    |

  8. The value of determinent |(25,20,45),(-10,10,0),(2,3,5)|is

    Text Solution

    |

  9. If A=(a(ij))(2xx3),B=(b(ij))(2xx3)then the order of AB will be

    Text Solution

    |

  10. If A=(a(ij))(2xx2).Where a(ij) is given by (i-2j)^(2)then A is:

    Text Solution

    |

  11. If A=[(1,2),(0,1)]then A^(4) is:

    Text Solution

    |

  12. If A is a square matrix such that A^(2)=A,then the value of A+(A-I)^(4...

    Text Solution

    |

  13. If A and B are symmetric matrices of same order than AB-BA is a:

    Text Solution

    |

  14. Let A=|(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3)c(3))|then the cofa...

    Text Solution

    |

  15. The area of traingle whose vertices are (0,0),(3,4),and(2,5) is :

    Text Solution

    |

  16. Find the odd man out:

    Text Solution

    |

  17. Find the odd man out:

    Text Solution

    |

  18. Find the correct statement:

    Text Solution

    |

  19. Find the incorrect statement:

    Text Solution

    |

  20. Find the incorrect statement:

    Text Solution

    |