Home
Class 12
MATHS
If x in[0, (pi)/2] such that |(sin x+cos...

If `x in[0, (pi)/2]` such that `|(sin x+cos x)-sqrt2| +|y+(1)/(y)-2|+|z| le 0`, then. the valuc of
|[sin 4 x , cos ^2 x , 1],[ y+2 , y^3 , (1)/(y)],[ ln (z+1) , z+5 , z^(3)+2]|` is

Text Solution

Verified by Experts

The correct Answer is:
12
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 x+y+z= (pi)/(2) show that sin 2x + sin 2y + sin 2z =4 cos x cosy cos z

If x,y,z in[-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3 pi)/(2), find the value of x^(2)+y^(2)+z^(2)

If sin ^(-1) x + sin ^(-1) y + sin ^(-1) z = (3pi)/(2) then the value of x ^(100) + y ^(100) + z ^(100) - (3)/( x ^(101) + y^(101) + z ^(101)) is

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 , then write the value of x+y+z .

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi then x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ (2) y ^ (2) z ^ (2)

Prove that |[x,y,z] , [x^2, y^2, z^2] , [yz, zx, xy]| = |[1,1,1] , [x^2, y^2, z^2] , [x^3, y^3, z^3]|

If x,y,z in[-1,1] such that cos^(-1)x+cos^(1)y+cos^(-1)z=3 pi, then find the values of (1)xy+yz+zy and (2)x(y+z)+y(z+x)+z(x+y)

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

    |