Home
Class 12
MATHS
Show that (a+1) is a factor of abs([(a+1...

Show that `(a+1)` is a factor of `abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER -15

    SHARAM PUBLICATION|Exercise EXERCISE|40 Videos

  • MODEL QUESTION PAPER -17

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Show that (a+1) is a factor of |[a+1,2,3],[1,a+1,3],[3,-6,a+1]| =0

Factorize the following. [[x,2,3],[1,x+1,3],[1,4,x]]

Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]

Verify that [AB]^T = B^T A^T where A=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],[-1,1]]

In each of the following problems, show by vector method that the given points are collinear. A(2,6,3), B(1,2,7) and C(3,10,-1)

Verify that (AB)^-1=B^-1A^-1 if A=[[2,3,],[1,-1,]],B=[[0,1,],[3,1,]]

Without expanding,show that the following determinant vanishes. abs((6,2,1),(9,3,2),(12,4,3))

Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1, 2, -4) and (-12, -1, -3) are coplanar.

Show that the relation R on the set {1,2,3) given by R={(1,1), (2, 2), (3, 3), (1, 2), (2, 3)) is reflexive but neither symmetric nor transitive.

SHARAM PUBLICATION-MODEL QUESTION PAPER -16-EXERCISE
  1. Verify that A=[[a,b],[c,d]] satisfies the equation A^2-(a+d)A+(ad-bc...

    Text Solution

    |

  2. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

    Text Solution

    |

  3. Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])

    Text Solution

    |

  4. Solve : |[x-a, 0, 0],[a, x-b, 0],[a, b, x-c]|=0

    Text Solution

    |

  5. For what value of k is the function defined by {(k(x^2+2),when xle0),(...

    Text Solution

    |

  6. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  7. Find (dy)/(dx) when y=x^(siny)

    Text Solution

    |

  8. Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is...

    Text Solution

    |

  9. Find two numbers whose sum is 24 and product is maximum.

    Text Solution

    |

  10. Integrate: intx(e^x)/((1+x)^2)dx

    Text Solution

    |

  11. Integrate :inttan^-1x/(1+x^2)dx

    Text Solution

    |

  12. Evaluate int0^(pi/2)(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

    Text Solution

    |

  13. Find the area bounded by the line y = 2x, x- axis and the ordinate x =...

    Text Solution

    |

  14. Solve 2y^3(dy)/(dx)=ax

    Text Solution

    |

  15. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

    Text Solution

    |

  16. If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...

    Text Solution

    |

  17. Write the volume of the parallelopiped whose sides are given by-hatj, ...

    Text Solution

    |

  18. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  19. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  20. Prove that (veca.vecb)^2=a^2b^2-(veca xx vecb)^2

    Text Solution

    |