Home
Class 12
MATHS
If A=[(cos alpha, -sin alpha),(sin alpha...

If `A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I`, then the value of `alpha` is

A

`pi//6`

B

`pi//3`

C

`pi`

D

`3pi//2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

If A=[[cos alpha, -sin alpha] , [sin alpha, cos alpha]], B=[[cos2beta, sin 2beta] , [sin 2 beta, -cos2beta]] where 0 lt beta lt pi/2 then prove that BAB=A^(-1) Also find the least positive value of alpha for which BA^4B= A^(-1)

If sin alpha , 1 , cos 2 alpha are in GP, then find the general solution for alpha

If sin alpha, sin^(2) alpha, 1,sin^(4) alpha, sin^(5) alpha, ( - pi lt alpha lt pi ) are in A.P. , then alpha lies in the interval :

If sin theta= sin alpha , then

The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alpha sin theta + cos2(alpha + theta ) is independent of theta , the value of n is

If 32tan^8theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the general value of alpha is

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  2. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |

  3. Find the value of tan ""pi/8.

    Text Solution

    |

  4. Area lying between the curves y^(2)=2x and y=x is

    Text Solution

    |

  5. If P(AnnB)=7//10andP(B)=17//20, where P stands for probability then P(...

    Text Solution

    |

  6. The coefficient of variation of two distribution are 60 and 70. The st...

    Text Solution

    |

  7. Two cards are drawn at randrom from a pack of 52 cards. The probabilit...

    Text Solution

    |

  8. If sin^(-1)x+sin^(-1)y=(pi)/(2), then x^(2) is equal to

    Text Solution

    |

  9. The value of int(2)^(8)(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx is

    Text Solution

    |

  10. Write the contrapositive and converse of the following statements. I...

    Text Solution

    |

  11. Two dice are thrown simultaneously. The probability of obtaining a tot...

    Text Solution

    |

  12. If A=[(cos alpha, -sin alpha),(sin alpha, cos alpha)], and A+A'=I, the...

    Text Solution

    |

  13. IF A = [{:(3,,1),(-1,,2):}] then A^(2) -5A is equal to

    Text Solution

    |

  14. Find a value of "x"for which x( hati + hatj+ hatk) is a uni...

    Text Solution

    |

  15. If x=2+3costheta and y=1-3sintheta represent a circle then the centre ...

    Text Solution

    |

  16. The vector equation of the plane which is at a distance of 3//sqrt(14)...

    Text Solution

    |

  17. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  18. If cos alpha, cos beta, cos gamma are the direction cosines fo a vecto...

    Text Solution

    |

  19. The value of the sin 1^(@) + sin2^(@) + … + sin359^(@) is equal to

    Text Solution

    |

  20. Integrating factor of x(dy)/(dx) -y = x^(4) -3x is

    Text Solution

    |