Home
Class 12
MATHS
|((x-2)^2,(x-1)^2,x^2),((x-1)^2,x^2,(x+1...

`|((x-2)^2,(x-1)^2,x^2),((x-1)^2,x^2,(x+1)^2),(x^2,(x+1)^2,(x+2)^2)|=-8.`

Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|41 Videos

  • LINEAR PROGRAMMING

    CBSE COMPLEMENTARY MATERIAL|Exercise ONE MARKS QUESTIONS|8 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

If f(x)=det[[x-2,(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+2)^(3) then coefficient of x in f(x), is ]]

(x^2+2x+1)(x^2-x+1)

(x^(2)+x+1)/((x+1)^(2)(x+2))

If x,y,zepsilonR then the value of |((2x^(x)+2^(-x))^(2),(2^(x)-2^(-x))^(2),1),((3x^(x)+3^(-x))^(2),(3^(x)-3^(-x))^(2),1),((4^(x)+4^(-x))^(2),(4^(x)-4^(-x))^(2),1)| is

x^(2)+(1)/(x^(2))-7(x-(1)/(x))+8

(iv) ((2x+1)/(x+1))^(4)-6((2x+1)/(x+1))^(2)+8=0

(x^(2))/(x+1)+((x+1)^(2))/(x^(2))-(x)/(x+2)+(x+1)/(x)-(7)/(4)=p^(2)

(2x^(3)-x^(2)+x+1)-:(2x+1)

CBSE COMPLEMENTARY MATERIAL-MATRICES AND DETERMINANTS-SIX MARK QUESTIONS
  1. Prove that |y z-x^2z x-y^2x y-z^2z x-y^2x y-z^2y z-x^2x y-z^2y z-x^2z ...

    Text Solution

    |

  2. Using elementary tansformations, find the inverse of the matrix A=[(...

    Text Solution

    |

  3. Using matrix method, solve the system of linear equations x-2y=10,2x...

    Text Solution

    |

  4. Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)...

    Text Solution

    |

  5. Find the matrix x for which [(3,2),(7,5)]x[(-1,1),(-2,1)]=[(2,-1),(0,4...

    Text Solution

    |

  6. Let A=[2 3-1 2] and f(x)=x^2-4x+7 . Show that f(A)=O . Use this result...

    Text Solution

    |

  7. If a+b+c=0and|(a-x,c,b),(c,b-x,a),(b,a,c-x)|=0, then show that either ...

    Text Solution

    |

  8. If A+B+C=pi, then value of |{:(sin(A+B+C),sinB,cosC),(-sinB,0,tanA),(c...

    Text Solution

    |

  9. |((x-2)^2,(x-1)^2,x^2),((x-1)^2,x^2,(x+1)^2),(x^2,(x+1)^2,(x+2)^2)|=-8...

    Text Solution

    |

  10. Prove |[-bc, b^2+bc, c^2+bc] , [a^2+ac, -ac, c^2+ac] , [a^2+ab, b^2+ab...

    Text Solution

    |

  11. Prove that: |(a,a+c,a-b),(b-c,b,b+a),(c+b,c-a,c)|=(a+b+c)(a^(2)+b^(2)+...

    Text Solution

    |

  12. If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respective...

    Text Solution

    |

  13. Prove that (x-2)(x-1) is factor of |(1,1,x),(beta+1,beta+1,beta+x),(3,...

    Text Solution

    |

  14. Show that | (-a(b^2 + c^2 - a^2), 2b^3, 2c^3), (2a^3, -b(c^2 + a...

    Text Solution

    |

  15. Determination the product [{:(,-4,4,4),(,-7,1,3),(,5,-3,-1):}] [{:(,1,...

    Text Solution

    |

  16. If A=[1-1 1 2 1-3 1 1 1], find A^(-1) and hence solve the system of li...

    Text Solution

    |

  17. Solve given system of equations by matrix method: (2)/(a)+(3)/(b)+(4...

    Text Solution

    |

  18. To raise money for an orphanage, students of three schools A, B and C ...

    Text Solution

    |

  19. Two cricket teams honored their players for three values, excellent ba...

    Text Solution

    |

  20. If [(1,2,0),(-2,-1,-2),(0,-1,1)], find A^-1. Using A^-1, solve the sys...

    Text Solution

    |