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

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 number 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 38

    NTA MOCK TESTS|Exercise Mathematics|30 Videos
  • NTA TPC JEE MAIN TEST 41

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

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,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.

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

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

int((3sin phi-2)cos phi)/(5-cos phi-4sin phi)d phi

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 40-MATHEMATICS
  1. In a triangle ABC, sum(r=0)^(n)""^(n)C(r)a^(r) is b^(n-4)cos(rB-(n-r...

    Text Solution

    |

  2. Let |z+i|=-z+i=0, then argumentof z can't be

    Text Solution

    |

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

    Text Solution

    |

  4. If a matrix A=[(2,4,5),(4,8,10),(-6,-12,-15)] then the rank of A is eq...

    Text Solution

    |

  5. There are two bags, bag 1 contains 3 white and 2 redballs and bag 2 co...

    Text Solution

    |

  6. If all the equations x^(2)+(2a+3b)x+60=0, x^(2)+ax+10=0 and x^(2)+...

    Text Solution

    |

  7. If R is a relation on the set N, defined by {(x,y):2x-y=10} then R is

    Text Solution

    |

  8. The locus of the centre of a variable circle touching two circles of r...

    Text Solution

    |

  9. If the line joining the foci of the hyperbola S(1)=(x^(2))/(a^(2))-(y^...

    Text Solution

    |

  10. The equation of circle touching the parabola y=1-x^(2) at the point (2...

    Text Solution

    |

  11. In DeltaABC if medians from B and C are mutually perpendicular then th...

    Text Solution

    |

  12. Let P be the point (1,2,3) and Q be a point on the line vecr=(hati-h...

    Text Solution

    |

  13. The equation of line through (1,2,-1) and perpendicular to the lines ...

    Text Solution

    |

  14. If lim(xto0)((a sin x+b tan x)/(x^(3)))=3/2 then |a+2b| is equal to

    Text Solution

    |

  15. If f(x)=|x-2| and g(x)=f(f(x)) then for x gt10,g'(x) equal

    Text Solution

    |

  16. int(0)^(1)[sin^(-1)((2x)/(1+x^(2))) +[cos^(-1)((1-x^(2))/(1+x^(2)))+...

    Text Solution

    |

  17. If the substitution x=tan^(-1)(t) transforms the differential equation...

    Text Solution

    |

  18. If intsqrt(1+secx)dx=2(fog)(x)+C then

    Text Solution

    |

  19. Number of ways of seat 8 men and 8 women around a round table where on...

    Text Solution

    |

  20. The value of x in (0,(pi)/2) satisfying equation (sqrt(5)-1)/(sinx)+(s...

    Text Solution

    |