Home
Class 12
MATHS
If 0 le[x]lt 2,-1 le[y] lt 1 and 1 le[z]...

If `0 le[x]lt 2,-1 le[y] lt 1` and `1 le[z] lt 3` where `[.]` denotes greatest integral function then the maximum walue of the determinant. `D=|[[x]+1 , [y] , [z]],[ [x] , [y]+1 , [z]],[ [x] , [y] , [z]+1]|` is

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    CENGAGE|Exercise Question Bank|23 Videos

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

If 0le[x]lt2,-1le[y]lt1and1le[z]lt3 , where [*] denotes the greatest integer function, then the maximum value of the determinant |{:([x]+1,,[y],,[z]),([x],,[y]+1,,[z]),([x],,[y],,[z]+1):}| is -

If f(x)={{:(,x[x], 0 le x lt 2),(,(x-1)[x], 2 le x lt 3):} where [.] denotes the greatest integer function, then

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

The area bounded by y=x^(2),y=[x+1], 0 le x le 2 and the y-axis is where [.] is greatest integer function.

If [] denotes the greatest integer less than or equal to the real number under consideration and -1lt=xlt0,0lt=ylt1,1lt=zlt2, the value of the determinant |{:([x]+1,[y],[z]),([x],[y]+1,[z]),([x],[y],[z]+1):}| is

If [] denotes the greatest integer less than or equal to the ral number under consideration, and -1lt=x<0,0lt=y<1,1lt=a<2, then the value of the determinant |[x]+1[y][z][x][y]+1[z][x][y][z]+1| is [x] b. [y] c. [z] d. none of these

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

Maximum value of Z=3x+4y subject to x-y le -1, -x+y le 0, x ge 0 , y ge 0 is

CENGAGE-DETERMINANTS-Question Bank
  1. If the equations p x+2 y-3=0, x+3 y-4=0 and p x^2+3 y^2+3 x y+(q-3) x-...

    Text Solution

    |

  2. Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x...

    Text Solution

    |

  3. Given 2 x-y+2 z=1 , x-2 y+z=-4 , and x+y+lambda z =4. Then the. value ...

    Text Solution

    |

  4. If M and m are maximum and minimum value, respectively of |[1 , cos th...

    Text Solution

    |

  5. The value of |[log (3) 512 , log (4) 3 ],[ log (3) 8 , log (4) 9]||[...

    Text Solution

    |

  6. If x in[0, (pi)/2] such that |(sin x+cos x)-sqrt2| +|y+(1)/(y)-2|+|z| ...

    Text Solution

    |

  7. If alpha, beta, gamma are roots of the equation x^3+x^2+2 x-4=0, then ...

    Text Solution

    |

  8. If p and q are real so that sysiem of equations p x+4 y +z=0,2 y+3 z=1...

    Text Solution

    |

  9. If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3, then the value ...

    Text Solution

    |

  10. Let f(x) = |[x,1,(-3)/(2)],[2,2,1],[(1)/(x-1) ,0,(1)/(2)]| . The miniu...

    Text Solution

    |

  11. In the determinant, Delta=|[-2, 5 , -1],[ 4 , 7, 0],[ 5, -3, 1]|...

    Text Solution

    |

  12. If |[x^2, x^4 , (x-1)^2],[ 0, 4, 6 x^2 ],[ 4 ,1,7] |= overset(6) ...

    Text Solution

    |

  13. If a, b, c are the sides of a scalene triangle such that |[a , a^2 , a...

    Text Solution

    |

  14. Number of real roots of the equation |[sin x , x], [1 , 1]||[cos x, ...

    Text Solution

    |

  15. Let a+b+c=s and |[s+c, a, b],[ c ,s+a, b],[ c, a , s+b]|is cqua...

    Text Solution

    |

  16. In triangle A B C, if |[1, a, b],[ 1 , c, a],[ 1, b, c]|=0 then...

    Text Solution

    |

  17. If system of linear equations (a-1) x+z=alpha1 x+(b-1) y=beta and y+(c...

    Text Solution

    |

  18. If a1, a2, a3, 5,4, a6, a7, a8, a9 are in H . P, then the value of the...

    Text Solution

    |

  19. If 0 le[x]lt 2,-1 le[y] lt 1 and 1 le[z] lt 3 where [.] denotes greate...

    Text Solution

    |

  20. If f(x)=tan x and A, B, C are the angles of triangle A B C, then |[f(A...

    Text Solution

    |