Home
Class 11
MATHS
If |((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c...

If `|((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c^(2))//a,a),(b,b,(c^(2)+a^(2))//b)|=k(abc)` then `k=`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - I|21 Videos

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - II|29 Videos

  • MATRICES

    AAKASH SERIES|Exercise DETERMINANTS- EXERCISE - II|52 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If A=|(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)b^(2),ab,a+b)| then |A|=

|(1,a,a^(2)+bc),(1,b,b^(2)+ac),(1,c,c^(2)+ab)|=k(a-b),(b-c), (c-a) then k =

(a ) /( b^(2) - c^(2)) + ( c )/( b^(2) - a^(2)) = 0 then B =

|((b+c)^(2),a^(2),bc),((c+a)^(2),b^(2),ca),((a+b)^(2),c^(2),ab)|=

|(a,b+c,a^(2)),(b,c+a,b^(2)),(c,a+b,c^(2))|=

If Delta=|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=k(a-b)(b-c)(c-a) then k=

|(3, a+b+c, a^(2)+b^(2)+c^(2)),(a+b+c, a^(2)+b^(2)+c^(2), a^(3)+b^(3)+c^(3)), (a^(2)+b^(2)+c^(2),a^(3)+b^(3)+c^(3), a^(4)+b^(4) +c^(4))| =K(a-b)^(2)(b-c)^(2)(c-a)^(2) then k =

AAKASH SERIES-MATRICES -DETERMINANTS-PRACTICE EXERCISE
  1. If D(r)=|(2^(r-1),2(3^(r-1)),4(5^(4-1))),(x,y,z),(2^(n)-1,3^(n)-1,5^(n...

    Text Solution

    |

  2. The determinant Delta=|(a,a+b,a+2b),(a+2b,a,a+b),(a+b,a+2b,a)|=

    Text Solution

    |

  3. If |((a^(2)+b^(2))//c, c, c),(a,(b^(2)+c^(2))//a,a),(b,b,(c^(2)+a^(2))...

    Text Solution

    |

  4. |(a^(2)+2a,2a+1,1),(2a+1,a+2,1),(3,3,1)|

    Text Solution

    |

  5. If A+B+C=pi then |{:(tan(A+B+C),tanB,tanC),(tan(A+C),0,tanA),(tan(A+B)...

    Text Solution

    |

  6. |(sin^(2)x,cos^(2)x,1),(cos^(2)x,sin^(2)x,1),(-10,12,2)|=

    Text Solution

    |

  7. |(cos (alpha+beta),-sin (alpha+beta),cos 2 beta),(sin alpha, cos alpha...

    Text Solution

    |

  8. If |{:(a,b,c),(b,c,a),(c,a,b):}|^(x)=|{:(2bc-a^(2),c^(2),b^(2)),(c^(2)...

    Text Solution

    |

  9. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

    Text Solution

    |

  10. If A+B+C=pi then the value of |(sin(A+B+C), sinB, cosC),(-sinB,0,tanA)...

    Text Solution

    |

  11. If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 the...

    Text Solution

    |

  12. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

    Text Solution

    |

  13. If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)| then (df)/(dx) at ...

    Text Solution

    |

  14. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

    Text Solution

    |

  15. Statement - I : If |{:(x+1,-3,4),(-5,x+2,2),(4,1,x-6):}|=0 then x=0 ...

    Text Solution

    |

  16. If |{:(5,-3),(a,3):}|=18,|{:(1,0,0),(2,3,4),(5,-6,b):}|=45,|{:(2,1,0),...

    Text Solution

    |

  17. Match the following from List - I to List - II |{:("List - I","-Li...

    Text Solution

    |

  18. Assertion (A) : |{:(1,2,2),(2,3,4),(3,5,6):}|=0 Reason (R) : If the ...

    Text Solution

    |

  19. If |{:(6i , -3i , 1) , (4 , 3i , -1) , (20 , 3 , i):}| = x +iy show t...

    Text Solution

    |

  20. If 1, omega, omega^(2) are the cube roots of unity then Delta=|(1,omeg...

    Text Solution

    |