Home
Class 12
MATHS
Let A = [[1,sintheta,1],[-sintheta,1,sin...

Let `A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], where 0lethetale2pi` Then :

A

det A = 0

B

det `A in (2, infty)`

C

det `A in (2,4)`

D

det `A in [2,4]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos
  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos

Similar Questions

Explore conceptually related problems

If Delta = |[1, 3costheta, 1], [sintheta, 1, 3costheta], [1, sintheta, 1]| , the maximum value of Delta is

If Delta=|{:(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1):}|"prove that" 2lt=Deltalt=4.

Evaluate |(2costheta,-2sintheta),(sintheta,costheta)|

If A = [(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)] verify that A(adj A) =1

If tantheta+sectheta=1. 5 , find sintheta,tantheta

if A=[(costheta,sintheta),(-sintheta,costheta)],then A^(2)=I is true for

If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values of theta satisfying the equation A^T+A=I_2 .

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Solve by matrix method 2/x + 3/y + 10/z = 4 , 4/x - 6/y + 5/z = 1 , ...

    Text Solution

    |

  2. If a, b, c, are in A.P, then the determinant |[x+2,x+3,x+2a],[x+3,x+4,...

    Text Solution

    |

  3. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

    Text Solution

    |

  4. Fill in the blanks : If A = [(1,a,3),(2,b,6),(3,c,9)], then det A is...

    Text Solution

    |

  5. Fill in the blanks : If cos 2 theta = 0, then |(0, costheta, sinthet...

    Text Solution

    |

  6. Fill in the blanks : Determinant of a skew symmetric matrix of order...

    Text Solution

    |

  7. Select the Correct Option If A is an invertible matrix of order 2, the...

    Text Solution

    |

  8. Fill in the blanks : If A is an invertible square matrix, then (A)^-...

    Text Solution

    |

  9. If A is matrix of order 3xx3, then (A^(2))^(-1)=…….

    Text Solution

    |

  10. Fill in the blanks : The determinant of a diagonal matrix is equal t...

    Text Solution

    |

  11. The sum of the products of elements of any row with the co-factors of ...

    Text Solution

    |

  12. If A is matrix of order 3xx3, then |3A|=……….

    Text Solution

    |

  13. Fill in the blanks : If A is a square matrix of order n then det (ad...

    Text Solution

    |

  14. Fill in the blanks : The determinant of a triangular matrix is equal...

    Text Solution

    |

  15. Find the area of the triangle whose vertices are (0,0),(a,0) and (0,b)

    Text Solution

    |

  16. If A,B,C are the angles of a triangle, then Delta=|{:(sin^(2)A, cotA...

    Text Solution

    |

  17. Fill in the blanks : If A is an invertible matrix of order nxxn (nge...

    Text Solution

    |

  18. The sum of the products of elements of any row with the co-factors of ...

    Text Solution

    |

  19. Fill in the blanks : If A is a matrix of order 3xx3, then the number...

    Text Solution

    |

  20. Fill in the blanks : If f(x) = |(0,x-1,x-2),(x+1,0,x-3),(x+2,x+3,0)|...

    Text Solution

    |