Home
Class 12
MATHS
Let A=[(1,sintheta, 1),(-sintheta, 1, si...

Let `A=[(1,sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], where 0lethetalt2pi` then (A) `|A|=0` (B) `|A|epsilon[2,4]` (C) `|A|epsilon)(0,oo)` (D) `|A|epsilon(2,oo)`

A

`Det(A)=0`

B

`Det(A) epsilon (2,oo)`

C

`Det(A) epsilon (2,4)`

D

`Det(A) epsilon [2,4]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (Fill in the blanks)|10 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (True or False)|5 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Exercise 4(h) (LONG ANSWER TYPE QUESTIONS)|52 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

Similar Questions

Explore conceptually related problems

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

If r sintheta=3,r=4(1+sintheta),0lethetale2pi,"then "theta=

Let A=[1sintheta1-sintheta1sintheta-1-sintheta1] , where 0lt=thetalt=2pi . Then (A) D e t(A)" "=" "0 (B) D e t(A) in (2,oo) (C) D e t(A) in (2," "4) (D) D e t(A) in [2," "4]

If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)] , then for all thetain ((3pi)/(4),(5pi)/(4)) , det. (A) lies in the interval

Prove that- 1-cos^2theta/(1+sintheta)=sintheta

If A=[[costheta, sintheta], [-sintheta, costheta]] , then |A^(-1)|=

((1-sintheta+costheta)^(2))/((1+costheta)(1-sintheta))=?

sqrt((1+sintheta)/(1-sintheta)) = __.

If Sintheta + Costheta = 1 Sintheta - Costheta = ?

MODERN PUBLICATION-DETERMINANTS-OBJECTIVE TYPE QUESTIONS (Multiple choice question)
  1. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

    Text Solution

    |

  2. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

    Text Solution

    |

  3. Choose the correct answer in questions 17 to 19: If a, b, c are in ...

    Text Solution

    |

  4. Choose the correct answer If x, y, z are nonzero real numbers then th...

    Text Solution

    |

  5. Let A=[(1,sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], w...

    Text Solution

    |

  6. If |(2x,5),(8,x)|=|(6,-2),(7,3)| then the value of x is

    Text Solution

    |

  7. Let Delta(1)=|{:(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1):}| and Delta(2)...

    Text Solution

    |

  8. If x , y in R , then the determinant =|cosx-sinx1sinxcosx1cos(x+y)-si...

    Text Solution

    |

  9. If the area of a triangle with vertices (-3,0),(3,0) and (0,0 is 9 sq....

    Text Solution

    |

  10. If A,B and C are angles of a triangle then the determinant |(-1,cosC...

    Text Solution

    |

  11. If A is a sqaure matrix of order 3xx3 and |A|=5, then |adj.A| is

    Text Solution

    |

  12. The value of 'x' for which |{:(3,x),(x,1):}|=|{:(3,2),(4,1):}| is

    Text Solution

    |

  13. Evalute the determinants in queations 1 and 2 : If |{:(x,2),(18,x):}...

    Text Solution

    |

  14. If A is a matrix of order 3xx3 and |A|=10 , then |adj.A| is

    Text Solution

    |

  15. If A is an invertible matrix of order 2, then det (A^(-1))is equal to...

    Text Solution

    |

  16. If |{:(2,3-x),(1,4):}|=0, then value of 'x' is

    Text Solution

    |

  17. If |{:(x,12),(3,x):}|=|{:(6,18),(2,6):}|, then value of 'x' is

    Text Solution

    |

  18. Let A be a non-singular square matrix of order 3 xx3. Then |adj A| is ...

    Text Solution

    |

  19. If A and B are invertible matrices of the same order, then (AB)' is eq...

    Text Solution

    |

  20. If determinant A is order 2xx2 and |A|=3, then the value of |2A| is

    Text Solution

    |