Home
Class 12
MATHS
If AB =0, then for the matrices. A = [...

If AB =0, then for the matrices.
`A = [{:(cos^(2)theta, cos theta sin theta),(cos theta sin theta, sin^(2)theta):}]` and `B = [{:(cos^(2)phi, cos phi sin phi),(cos phi sin phi, sin^(2)phi):}], 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

  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos

  • NTA TPC JEE MAIN TEST 37

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

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

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 .

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

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

If A=[(cos^2theta,costheta sintheta),(cos theta sintheta, sin^2theta)] and B=[(cos^2 phi, cos phi sin phi),(cos phisinphi,sin^2phi)], show that AB is zero matrix if theta and phi differ by an odd multiple of pi/2.

If theta-phi=pi/2, then show that [[cos^2theta,costhetasintheta],[costhetasintheta,sin^2theta]]*[[cos^2phi,cosphisinphi],[cosphisinphi,sin^2phi]]=0

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 36-MATHEMATICS
  1. The coefficient of x^(5) in (1+ x + x^(2) + x^(3))^(11) is:

    Text Solution

    |

  2. If a = cos ((2pi)/7) +isin((2pi)/7), then the quadratic equation whose...

    Text Solution

    |

  3. If AB =0, then for the matrices. A = [{:(cos^(2)theta, cos theta sin...

    Text Solution

    |

  4. The value of the determinant. |{:(1, a, a^(2)),(cos(n-1)x, cos nx, c...

    Text Solution

    |

  5. The value of sum(r=1)^(5) (""^(n)C(r))/(""^(n)C(r-1))=

    Text Solution

    |

  6. Assume Rand S are (non-empty) relations in a set A. Which of the follo...

    Text Solution

    |

  7. AB is any chord of the circle: x^2 + y^2 - 6x - 8y - 11 = 0 which su...

    Text Solution

    |

  8. The minimum area (sq. units) of triangle formed by the tangent to the ...

    Text Solution

    |

  9. If l(1) and l(2) are lengths of two perpendicular focal chord of para...

    Text Solution

    |

  10. The straight lines 3x - 4y + 7 = 0 and 12x + 5y - 2 = 0 has equation o...

    Text Solution

    |

  11. A man is moving away from a tower 41.6m high at a rate of 2ms^(-1). If...

    Text Solution

    |

  12. A plane passes through (1,2,-2) and is perpendicular to two planes x-2...

    Text Solution

    |

  13. Let f : R to R and f(n)(x) = f(f(n-l)(x))AA n ge 2, n in N. Then the r...

    Text Solution

    |

  14. If y = e^(x) + sin x, then d^(2)x//dy^(2) is equal to:

    Text Solution

    |

  15. Let y = f(x) satisfies the differential equation (sin x)dy + (cos x)y ...

    Text Solution

    |

  16. Let f(y) = int(0)^(1) e^(x-y^(2)) (x^(3) - 2xy + 3x^(2) - 2y)dx, then ...

    Text Solution

    |

  17. If p:l study and q : I fail Then negation of T study or I fail' is:

    Text Solution

    |

  18. The standard deviation of a variate x is sigma. The standard deviation...

    Text Solution

    |

  19. (sin theta)/(cos theta) + (sin 2theta)/(cos^(2)theta) + (sin 3theta)/(...

    Text Solution

    |

  20. Difference of maximum and minimum value of : f(x) = sqrt(cos^(-1) [x...

    Text Solution

    |