Home
Class 12
MATHS
Find values of x if i) |[2 , 4],[ 5, ...

Find values of `x` if i) `|[2 , 4],[ 5, 1]|=|[2 x, 4], [6, x]|` ii) `|[2, 3],[ 4 , 5]|=|[ x, 3],[ 2 x, 5]|`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    V PUBLICATION|Exercise QUESTION BANK|168 Videos

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

Similar Questions

Explore conceptually related problems

Find the values of x, if |(2,3),(4,5)|=|(x,3),(2x,5)|

Find x if abs[[2,4],[5,1]]=abs[[2x,4],[6,x]]

Find X and Y , if i) X+Y=[[7, 0],[ 2, 5]] and X-Y=[[3 , 0],[ 0 , 3]] ii) 2 X+3 Y=[[2 , 3 ],[ 4 , 0]] and 3 X+2 Y=[[2, (-2)],[ (-1) , 5]]

Find the values of x, y,z from the following equations i) [[4, 3 ], [x, 5]]=[[y , z], [1 , 5]] ii) [[x+y , 2] , [5+z, x y]]=[[6 , 2] , [5, 8]] iii) [[x+y+z], [x+z] , [y+z]]=[[9] , [5 ] ,[7]]

Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9],[ 2, 4, 6]]

Find x , if [[x,-5,-1]] [[1, 0, 2],[ 0, 2, 1],[ 2, 0, 3]][[x],[ 4],[ 1]]=0

If the variance of 1, 2, 3, 4, 5, ... , x is 10, then the value of x is

Find X and Y if 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2,2],[-1,5]]

The minimum value of 2x^(3) - 9x^(2) + 12 x + 4 is a)4 b)5 c)6 d)8

Find the value of k if remainder when 5x^3 + 4x^2- 11x + k is divided by (x - 1) is 0.

V PUBLICATION-DETERMINANT-QUESTION BANK
  1. Evaluate the determinants (i) |[3 , -1, -2],[ 0, 0, -1],[ 3, -5,...

    Text Solution

    |

  2. If A = [(1,1,-2),(2,1,-3),(5,4,-9)]. Find |A|

    Text Solution

    |

  3. Find values of x if i) |[2 , 4],[ 5, 1]|=|[2 x, 4], [6, x]| ii) ...

    Text Solution

    |

  4. If |[x ,2],[ 18, x]|=|[ 6, 2 ],[ 18, 6]|, then x is equal to a)6 ...

    Text Solution

    |

  5. Verify Property 1 for Delta=|[2 ,-3, 5],[ 6, 0, 4],[ 1, 5, -7]...

    Text Solution

    |

  6. Verify Property 2 for Delta=|[2 , -3, 5],[ 6, 0, 4],[ 1, 5, -7]...

    Text Solution

    |

  7. Evaluate Delta=|[3, 2, 3],[ 2, 2, 3],[ 3, 2, 3]|

    Text Solution

    |

  8. Evaluate |[102, 18, 36],[ 1, 3, 4],[ 17, 3, 6]|

    Text Solution

    |

  9. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

    Text Solution

    |

  10. Prove that |[a, a+b, a+b+c],[ 2 a, 3 a+2 b, 4 a+3 b+2 c],[ 3 a, ...

    Text Solution

    |

  11. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

    Text Solution

    |

  12. Evaluate Delta=|[1, a, bc],[ 1, b, c a],[ 1, c, a b]|

    Text Solution

    |

  13. Using properties of determinants prove the following. abs[[b+c,a,...

    Text Solution

    |

  14. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

    Text Solution

    |

  15. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

    Text Solution

    |

  16. Without expanding the determinant prove the following. |[x,a,x+a],[y...

    Text Solution

    |

  17. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

    Text Solution

    |

  18. Evaluate |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|=0

    Text Solution

    |

  19. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

    Text Solution

    |

  20. Without expanding the determinant prove the following. |[b+c,q+r,y+z...

    Text Solution

    |