Home
Class 12
MATHS
Let A(alpha)=[cosalpha0sinalpha0 1 0sina...

Let `A(alpha)=[cosalpha0sinalpha0 1 0sinalpha0cosalpha]` and `X` is a set of all matrices `A(alpha)` for different values of `alpha` . Which of the following is true `(a)A^(-1)(alpha)=A(-alpha)` (b) `A^(-1)(alpha)=A(alpha)` `(c)det(a d j(A^(-1)(alpha)))=sec^2 2alpha` `(d)det(A^(-1)(alpha))=1/(cos2alpha)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha .

If A=[[cosalpha, -sin alpha] , [sin alpha, cos alpha]] then A+A'=I then alpha=

If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] is identity matrix, then write the value of alpha .

If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],t h e n prove that [F(alpha)]^(-1)=F(-alpha)dot

If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),(0,0,e^(beta))] , then A(alpha, beta)^(-1) is equal to

If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,e^(beta)]],t h e nA(alpha,beta)^(-1) is equal to a. A(-alpha,-beta) b. A(-alpha,beta) c. A(alpha,-beta) d. A(alpha,beta)

Let A=({:(cosalpha,-,sinalpha),(sinalpha,,cosalpha):}),(alphaepsilonR) such that A^(32)=({:(0,-1),(1,0):}) . Then a value of alpha is:

Let A=[(cos alpha,sin alpha),(-sinalpha,cosalpha)] and matrix B is defined such that B=A+3A^(2)+3A^(3)+A^(4). If |B|=8 then the number of values of alpha in [0, 10pi] is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If p: 'Ram is tall' and q: 'Ram is intelligent' , then the statement ...

    Text Solution

    |

  2. Describe the following set by set property method {0,3,8,15 ,24 ,35}

    Text Solution

    |

  3. Let A(alpha)=[cosalpha0sinalpha0 1 0sinalpha0cosalpha] and X is a set ...

    Text Solution

    |

  4. If p: Ashok works hard: q: Ashok gets good grade The verbal form for (...

    Text Solution

    |

  5. In a circle, chords A Ba n dC D intersect at a point R inside the c...

    Text Solution

    |

  6. intsqrt(a^(2)-x^(2))dx

    Text Solution

    |

  7. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  8. Remove the irrationality in the denominator a. sqrt((sqrt(2)-1)/(sq...

    Text Solution

    |

  9. Consider two lines vec r= hat i+ hat j+lambda1( hat i- hat k)a n d ve...

    Text Solution

    |

  10. If mean of squares of deviations of a set of n observations about -2a ...

    Text Solution

    |

  11. Simplify the following expressions: (i)(sqrt(3)+sqrt(7))^2 (ii) ...

    Text Solution

    |

  12. If distinct and positive quantities a ,b ,c are in H.P. then (a) b/c= ...

    Text Solution

    |

  13. Evaluate/simplify the following: |sqrt(7-4sqrt(3))|+|sqrt((2-sqrt(3))^...

    Text Solution

    |

  14. Find the number of diagonals of a 16-sided polygon.

    Text Solution

    |

  15. If equation of ellipse is (3x-9)^2+9y^2=(x+sqrt(2)y+1)^2 then (1) Its...

    Text Solution

    |

  16. If roots of x^3+bx^2+cx+d=0 are (A) in A.P. then 2b^3-9bc+27d=0 (B) ...

    Text Solution

    |

  17. A five digits number of the form xyzyx is choosen, probability that x<...

    Text Solution

    |

  18. If tangent at point (1, 2) on curve y = ax^(2) + bx + (7)/(2) be paral...

    Text Solution

    |

  19. If alpha,beta are the roots of the equation x^2-4x+1=0, then Find the ...

    Text Solution

    |

  20. The algebraic sum of deviations of 10 observations measured from 16 is...

    Text Solution

    |