Home
Class 12
MATHS
If A= [[4,x+2],[2x-3, x-1]] is symmetri...

If `A= [[4,x+2],[2x-3, x-1]]` is symmetric then` x=`

A

3

B

5

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If the matrix [(5-x,2y-8),(2,3)] is symmetric then find the value of x and y.

If |[ x+1 ,2 ,3],[1 , x+2,3],[1, 2, x+3]|=0 , then x=0 and

If x ne 0 and |[1,x,2x],[1,3x,5x],[1,3,4]|=0 then x=

If |[x-2,2x-3,3x-4],[x-4,2x-9,3 x-16],[x-8,2x-27,3 x-64]|=0 then x=

If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) , (x + 1 , -2x , x- 4) , (x - 3 , x + 4 , 3x):}| , then e =

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the polynomial is exactly divisible by g(x) = x^(2) +2x - 3 ?

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

What must be added to f(x) = x^(4) + 2x^(3) - 2x^(2) + x- 1 so that the resulting polynomial is a multiple of x^(2) + 2x - 3 ?

If f(x) = |(sin x + sin 2x + sin 3x, sin 2x , sin 3x),(3 + 4 sin x, 3, 4 sin x),(1 + sin x, sin x, 1)| then the value of int_0^(-pi//2) f(x) dx equals :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The matrix [[0, 5,-7], [-5,0,11],[7,-11,0]] is known as

    Text Solution

    |

  2. If in a square matrix A=(a(i j)) we have a(ji)=a(i j) for all i, j the...

    Text Solution

    |

  3. If A= [[4,x+2],[2x-3, x-1]] is symmetric then x=

    Text Solution

    |

  4. If A is a square matrix then A . A^(T) is

    Text Solution

    |

  5. If A+B=[[1,0],[1,1]] and A-2 B=[[-1,1],[0,1]] then A=

    Text Solution

    |

  6. If A=[[-1,2],[-2,1]], B=[[3,4],[2,-1]] and A+2 X=B, then X=

    Text Solution

    |

  7. If A=[(1,-3),(2,k)] and A^(2)-4A+10I=A, then k =

    Text Solution

    |

  8. If 2 A+3 B=[[2,-1,4],[3,2,5]] and A+2 B=[[5,0,3],[1,6,2]] then B=

    Text Solution

    |

  9. If O(A)=2xx3, O(B)=3xx2, and O(C )=3xx3 which one of the following is ...

    Text Solution

    |

  10. If A= [[1 ,-2, 2],[0, 2, -3],[3 ,-2, 4]], then A . adj A=

    Text Solution

    |

  11. The inverse of the matrix [[1 , 0, 0],[ a , 1 , 0],[ b, c , 1]] is

    Text Solution

    |

  12. Given below are atomic radii of same elements of second period. {:("...

    Text Solution

    |

  13. |[3421, 3422],[3423,3424]|=

    Text Solution

    |

  14. Let A=[[200,50],[10,2]] B=[[50,40],[2,3]]. Then the value of the deter...

    Text Solution

    |

  15. If k is a scalar and A is a n -square matrix, then |k A|=

    Text Solution

    |

  16. The value of |[2 , 3, 1],[-3,-1, -4],[-2,-5,-3]|=

    Text Solution

    |

  17. |[4 sin ^2 theta, cos 2 theta],[ -cos 2 theta,cos ^2 theta]| =

    Text Solution

    |

  18. |(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=

    Text Solution

    |

  19. Prove that |(b+c,a,a),(b,c+a,b),(c,c,a+b)|= 4ac

    Text Solution

    |

  20. The value of |(1,1,1),(bc,ca,ab),(b+c,c+a,a+b)|

    Text Solution

    |