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-4

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

  • QUESTION PAPER 2010

    SHARAM PUBLICATION|Exercise EXERCISE|53 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-5-EXERCISE
  1. If A = [(-1, 3, 5),(1, -3, -5),(-1, 3, 5)] then show that A^2 = 9A

    Text Solution

    |

  2. If [(x+y, x-2),(2x-y,0)] = [(2,2),(1,0)] then find the values of x,y?

    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. Find the value of a such that the function f defined by f(x)={((sinax...

    Text Solution

    |

  5. Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...

    Text Solution

    |

  6. If y = (sinx)^x find (dy)/(dx).

    Text Solution

    |

  7. Find the points on the curve y = x^3 - 11x + 5 at which the equation o...

    Text Solution

    |

  8. Evaluate intx/((x^2 + 4)) dx.

    Text Solution

    |

  9. Evaluate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  10. Evaluate int(sinx + cosx)/(sqrt(sin2x))dx

    Text Solution

    |

  11. Solve dy + e^-y sin x dx = 0.

    Text Solution

    |

  12. If the sum of two unit vectors is a unit vectors find the magnitude of...

    Text Solution

    |

  13. Find a vector of magnitude 5 units and parallel to the resultant of ve...

    Text Solution

    |

  14. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  15. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |

  16. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

    Text Solution

    |

  17. If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...

    Text Solution

    |

  18. Using properties of determinants, prove the following abs{:(a^2, bc, a...

    Text Solution

    |

  19. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

    Text Solution

    |

  20. int(pi//6)^(pi//3)dx/(1+sqrtcotx)

    Text Solution

    |