Home
Class 12
MATHS
For how many values of 'x' in the closed...

For how many values of 'x' in the closed interval `[-4,-1]` is the matrix `[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` singular ? (A) `2` (B) `0` (C) `3` (D) `1`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 4|9 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] is singular.

" The number of values of "x in[-4,-1]" ,for which the matrix "[[3,-1+x,2],[3,-1,x+2],[x+3,-1,2]]" is singular,is "

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

For what value of x, the matrix [{:( 3-x,2,2),( 2,4-x,1),(-2,-4,-1-x) :}] is singular

In the matrix A=[(3-2x,x+1),(2,4)] is singular then X=?

The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),(-2,-4,-1-x)] is singular, is

For what value of x the matrix A=[[1,-2,3],[1,2,1],[x,2,-3]] is singular?

For what value of x, is the matrix A=[(0,1,-2),(-1,x,-3),(2,3,0)] a skew-symmetric matrix

ARIHANT MATHS-MATRICES -Exercise For Session 2
  1. If {:A=[(4,x+2),(2x-3,x+1)]:} is symmetric, then x =

    Text Solution

    |

  2. If A and B are symmetric matrices, then ABA is

    Text Solution

    |

  3. if A and B are symmetric matrices of the same order and P=AB+BA and Q...

    Text Solution

    |

  4. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

    Text Solution

    |

  5. If A is symmetric as well as skew-symmetric matrix, then A is

    Text Solution

    |

  6. If A is square matrix order 3, then |(A - A')^2015| is

    Text Solution

    |

  7. the maximum number of different elements requried to from a symmetric...

    Text Solution

    |

  8. A and B are square matrices of order 3xx3 , A is an orthogonal matrix ...

    Text Solution

    |

  9. the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

    Text Solution

    |

  10. if A and B are square matrices of same order such that A = and B = B,...

    Text Solution

    |

  11. if matrix A=(1)/sqrt2[(1,i),(-i,a)], i=sqrt-1 is unitary matrix, a is ...

    Text Solution

    |

  12. If A is a 3x3 matrix and det (3A) = k {det(A)} , k is equal to

    Text Solution

    |

  13. If A and B are square matrices of order 3 such that absA=-1,absB=3," t...

    Text Solution

    |

  14. if A is a square matrix such that A^(2)=A, then det (A) is equal to

    Text Solution

    |

  15. If I is a unit matrix of order 10, then the determinant of I is equal ...

    Text Solution

    |

  16. If A(i)= [(2^(-i),3^(-i)),(3^(-i),2^(-i))],then sum(i=1)^(oo) det (A(i...

    Text Solution

    |

  17. The number of values of x for which the matrix A=[(3-x,2,2),(2,4-x,1),...

    Text Solution

    |

  18. For how many values of 'x' in the closed interval [-4,-1] is the matri...

    Text Solution

    |

  19. The value of x for which the matrix |(-x,x,2),(2,x,-x),(x,-2,-x)| will...

    Text Solution

    |