Home
Class 12
MATHS
If AB=O for the matrices A=[[cos^2theta,...

If `AB=O` for the matrices `A=[[cos^2theta,costhetasintheta],[costhetasintheta,sin^2theta]]` and `B=[[cos^2phi,cosphisinphi],[cosphisinphi,sin^2phi]]` then `theta-phi` is

A

an odd multiple of `(pi)/(2)`

B

an odd multiple of `pi`

C

an even multiple of `(pi)/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-III|18 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-IV|1 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II|26 Videos
  • INDEFINITE INTEGRATION

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

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

Similar Questions

Explore conceptually related problems

If A = [[cos^2theta, costhetasintheta],[costhetasintheta, sin^2theta]] B= [[cos^2phi, cosphisinphi], [cosphisinphi, sin^2phi]] and theta - phi = (2n+1)(pi)/2 Find AB.

Flind the product of two matrices A =[[cos^(2) theta , cos theta sin theta],[cos theta sin theta ,sin^(2)theta]] B= [[cos^(2) phi,cos phi sin phi],[cos phisin phi,sin^(2)phi]] Show that, AB is the zero matrix if theta and phi differ by an odd multipl of pi/2 .

The product of matrices A=[[cos^2theta,sinthetacostheta],[sinthetacostheta,sin^2theta]] and B=[[cos^2phi,sinphicosphi],[sinphicosphi,sin^2phi]] is a null matrix if theta-phi= (A) 2npi,n in Z (B) (npi)/2, n in Z (C) (2n+1)pi/2, n in Z (D) npi, n in Z

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi),(cos phi sin phi,sin^2 phi)]=0

If theta-phi=pi/2, prove that, [(cos^2 theta,cos theta sin theta),(cos theta sin theta,sin^2 theta)] [(cos^2 phi,cos phi sin phi),(cos phi sin phi,sin^2 phi)]=0

If A=[[cos 2 theta, sin 2 theta],[-sin2theta, cos2theta]] , find A^2

If A=[[cos theta, sin theta],[sin theta, cos theta]],B=[[cos phi, sin phi],[sin phi, cos phi]] show that AB=BA.

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

Prove : (1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta

cos2thetacos2phi+sin^2(theta-phi)-sin^2(theta+phi)=

RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-2
  1. Flind the product of two matrices A =[[cos^(2) theta , cos theta sin...

    Text Solution

    |

  2. If AB=O for the matrices A=[[cos^2theta,costhetasintheta],[costhetasin...

    Text Solution

    |

  3. If X=[(3,-4),(1,-1)] the value of X^(n) is

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. The number of nxxn matrix A and B such that AB - BA = I is. . .

    Text Solution

    |

  6. If B, C are square matrices of order n and if A = B + C, BC = CB,C^2=0...

    Text Solution

    |

  7. How many 3 x 3 skew symmetric matrices can be formed using numbers -2,...

    Text Solution

    |

  8. If A is a skew-symmetric matrix and n is an even natural number,...

    Text Solution

    |

  9. Matrix A such that A^(2)=2A-I, where I is the identity matrix, then fo...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. " If "|{:(sin 0 cos phi,,sin 0 sin phi,,cos 0),(cos 0 cos phi,, cos 0 ...

    Text Solution

    |

  12. Prove that |{:(1+a^(2)+a^(4),,1+ab+a^(2)b^(2),,1+ac+a^(2)c^(2)),(1+ab+...

    Text Solution

    |

  13. Using properties of determinants, prove that : |{:(a^(2)+1,ab,ac),(b...

    Text Solution

    |

  14. Value of the Delta=|{:(,a^(3)-x,a^(4)-x,a^(5)-x),(,a^(5)-x,a^(6)-x,a^(...

    Text Solution

    |

  15. If Delta1=|[2a,b,e],[2d,e,f],[4x,2y,2z]|,Delta2=|[f,2d,e],[2z,4x,2y],[...

    Text Solution

    |

  16. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  17. Let A=|{:(,-2,7,sqrt3),(,0,0,-2),(,0,2,0):}| and A^(4)=lambda,I,"then"...

    Text Solution

    |

  18. If A is 3 xx 3 square matrix whose characteristics polynomical equatio...

    Text Solution

    |

  19. If a,b,c are non-zeros, then the system of equations {:((alpha+a)x+a...

    Text Solution

    |