Home
Class 12
MATHS
If the matrix [[cos theta,sin theta,0],[...

If the matrix `[[cos theta,sin theta,0],[sin theta,cos theta,0],[0,0,1]]` is singular then `theta=`

A

`pi`

B

`(pi)/(2)`

C

`(pi)/(3)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Inverse of the matrix [[cos 2 theta,-sin 2 theta],[sin 2 theta , cos 2 theta]] is

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

If I= [[1,0],[0,1]] and J= [[0,1],[-1,0]] and B = [[cos theta, sin theta],[-sin theta, cos theta]] , then B=

Write the inverse of the matrix {:|(cos theta,sin theta),(-sin theta,cos theta)| .

Solve cos theta+cos 7 theta+cos 3theta+cos 5 theta=0 ,

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

Simplify : cos theta[(cos theta,sin theta),(-sin theta,cos theta)]=sin theta[(sin theta,-cos theta),(cos theta,sin theta)]

If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. A nonsingular matrix A satisfies A^2-A+2 I=0, then A^-1=

    Text Solution

    |

  2. If [[x, y^3],[2,0]]=[[1,8],[2,0]] then [[x,y],[2,0]]^-1=

    Text Solution

    |

  3. If the matrix [[cos theta,sin theta,0],[sin theta,cos theta,0],[0,0,1]...

    Text Solution

    |

  4. If A=[[1,3],[2,1]], then determinant of A^2-2 A is

    Text Solution

    |

  5. If A and B are two matrices such that B=-A^-1 B A then (A+B)^2=

    Text Solution

    |

  6. If A= [[0,2],[3,-4]], k A= [[0,3a],[2b,24]] then the value of k, a, b ...

    Text Solution

    |

  7. If A and B are square matrices of order 3, A is nonsingular and A . B=...

    Text Solution

    |

  8. adj [[1,0,2],[-1,1,-2],[0,2,1]]= [[5,a,-2],[1,1,0],[-2,-2, b]] then (...

    Text Solution

    |

  9. A= [[-1, 0],[0,2]] then A^3-A^2=

    Text Solution

    |

  10. If A and B are square matrices of the same order, then

    Text Solution

    |

  11. If A= [[2,1,0],[0,2,1],[1, 0,2]] then |adj A|=

    Text Solution

    |

  12. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  13. If A is a 3xx3 nonsingular matrix and if |A|=3, then |(2A)^(-1)|=

    Text Solution

    |

  14. If A=[(3,2),(1,1)] then A^(2)+xA+yI=0 for (x,y) =

    Text Solution

    |

  15. If [{:(1,2,-1),(1,x-2,1),(x,1,1):}] is singular ,then the value of x ...

    Text Solution

    |

  16. If A and B are symmetric matrices of the same order, then which one of...

    Text Solution

    |

  17. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  18. If A (adj .A ) = 5I , where I is idensity martrix of order 3 , then |...

    Text Solution

    |

  19. If A=[[3,2],[4,5]] and A C=[[19,24],[37,46]], then C=

    Text Solution

    |

  20. If A= (a(ij) ) is a scalar matrix of order nxx n such that a(ii)=k for...

    Text Solution

    |