Home
Class 12
MATHS
If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,...

If I=`[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,sin theta),(,-sin theta,cos theta)]:}"then B"=`

A

`Icos theta+J sin theta`

B

`Icostheta-Jsintheta`

C

`I sin theta+Jcos theta`

D

`-Icos theta+Jsin theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise PART-III|21 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-2|20 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-D|17 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

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

If I=det[[1,00,1]],,B=det[[0,1-1,0]] and C=det[[cos theta,sin theta-sin theta,cos theta]] the C=

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

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

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

(Sin theta -Cos theta +1)/(Sin theta+Cos theta -1) = ?

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

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

cos^(2)theta-sin theta.cos theta-(1)/(2)=0

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

RESONANCE-MATRICES & DETERMINANT-PART-II
  1. [{:(,x^(2)+x,-1),(,3,2):}]+[{:(,0,-1),(,-x+1,x):}]=[{:(,0,-2),(,5,1):}...

    Text Solution

    |

  2. If A=[{:(,1),(,2),(,3):}]and B =[{:(,-5,4,0),(,0,2,-1),(,1,-3,2):}]"th...

    Text Solution

    |

  3. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

    Text Solution

    |

  4. A matrix A=[a(ij)] is an upper triangular matrix, if

    Text Solution

    |

  5. If A=diag(2,-1,3), B=diag(-1,3,2)then A^(2)B

    Text Solution

    |

  6. If A is skew-symmetric matrix, then trace of A is

    Text Solution

    |

  7. Let A=[{:p q q p:}] such that det(A)=r where p,q,r all prime number, t...

    Text Solution

    |

  8. Let A=[(0,1),(2,0)] and (A^(8)+A^(6)+A^(2)+I)V=[(32),(62)] where V i...

    Text Solution

    |

  9. Let A=[{:(,3x^(2)),(,1),(,6x):}], B=[a,b,c] and C=[{:(,(x+2)^(2),5x^(2...

    Text Solution

    |

  10. Let A be an involutary matrix and S be the set containing solution of ...

    Text Solution

    |

  11. If A is a diagonal matrix of order 3xx3 is commutative with every squa...

    Text Solution

    |

  12. A is a (3xx3) diagonal matrix having integral entries such that det (A...

    Text Solution

    |

  13. If |{:(,b+c,c+a,a+b),(,c+a,a+b,b+c),(,a+b,b+c,c+a):}|ge 0, "where a ,b...

    Text Solution

    |

  14. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 5 4a6a7a8a9|...

    Text Solution

    |

  15. If |{:(,a+b+2c,a,b),(,c,b+c+2a,b),(,c,a,c+a+2b):}|=k(alphaa+betab+gamm...

    Text Solution

    |

  16. If A is a square matrix of order 3 and A' denotes transpose of matrix ...

    Text Solution

    |

  17. se A is a matrix such that A^2 =A and (I + A)^6 =1+ KA, then k is

    Text Solution

    |

  18. |[-bc, b^2+bc, c^2 +bc],[a^2+ac,-ac,c^2+ac],[a^2+ab,b^2+ab,-ab]|=64. t...

    Text Solution

    |

  19. If f(x)=|{:(,1+sin^(2)x,cos^(2)x,4sin2x),(,sin^(2)x,1+cos^(2)x,4sin2x)...

    Text Solution

    |

  20. If Un=|(n,1,5),(n^2, 2N+1,2N+1),(n^3,3N^2,3N+1)|, then sum(n=1)^NUn is...

    Text Solution

    |