Home
Class 11
MATHS
If F(x)=[("cos"x,-sin x,0),(sin x,cos x,...

If `F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)]` and `G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)]`, then `[F(x) G(y)]^(-1)` is equal to

A

`F(-x)G(-y)`

B

`F(x^(-1))_G(y^(-1))`

C

`G(-y)F(-x)`

D

`G(y^(-1))F(x^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|12 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

If f(x) = [(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)] then show f(x) . f(y) = f(x+y)

find the value for x F(x)=|[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]|

If sin(x y)+cos(x y)=0 , then (dy)/(dx) is

" if " f(0) = |{:(sin 0 ,,cos 0,,sin 0),(cos0,,sin0,,cos0),(cos0,, sin 0,,sin 0):}| then

Given that F(x)=[{:(,cos x,-sin x,0),(,sin x,cos x,0),(,0,0,1):}]."If"in R Then for what values of y, F(x+y)=F(x)F(y)

If x = sin^(-1)(sin 10) and y = cos^(-1)(cos 10) then y - x is equal to:

If x , y in R , then the determinant = |(cos x , -sin x,1),(sin x, cos x,1),(cos(x+y), -sin(x+y), 0)| lies in the interval (a) [-sqrt(2),sqrt(2)] (b) [-1,1] (c) [-sqrt(2),1] (d) [-1,-sqrt(2)]

If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x in (0, pi/2) " then " (dy)/(dx) is equal to

If y= y(x) ( 2 _ cos x ) /( y+1) (( dy )/(dx)) =- sin x, y (0) =1 then y((pi)/(2)) equal ____.

If y=cos (sin x) , show that (d^2y)/(dx^2)+tan x""(dy)/(dx)+y cos^2 x=0

OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. If A=[a(ij)] is a scalar matrix of order nxxn and k is a scalar, then ...

    Text Solution

    |

  2. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

    Text Solution

    |

  3. If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0...

    Text Solution

    |

  4. Find the matrix A satisfying the matrix equation [{:(2,1),(3,2):}]A[...

    Text Solution

    |

  5. If [(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-...

    Text Solution

    |

  6. If A and B are two matrices such that A+B and AB are both defind, then

    Text Solution

    |

  7. If a matrix A is such that 3\ A^3+2\ A^2+5\ A+I=0 , then A^(-1) is equ...

    Text Solution

    |

  8. Let A and B be matrices of order 3 xx 3. If AB = 0, then which of the ...

    Text Solution

    |

  9. If A is an invertible matrix, then which of the following is correct

    Text Solution

    |

  10. Which of the following is/are incorrect? (i) adjoint of a symmetri...

    Text Solution

    |

  11. If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed ...

    Text Solution

    |

  12. If for matrix A,A^(2)+l=0, where l is the identity matrix, then A equa...

    Text Solution

    |

  13. If A=[a(ij)](mxxn) is a matrix of rank r then (A) r=min{m,n} (B) rlemi...

    Text Solution

    |

  14. If In is the identity matrix of order n, then rank of In is

    Text Solution

    |

  15. A=[a(ij)](mxxn) is a square matrix, if

    Text Solution

    |

  16. The rank of a null matrix is

    Text Solution

    |

  17. If A is a matrix such that there exists a square submatrix of order r ...

    Text Solution

    |

  18. Which of the following is correct ?

    Text Solution

    |

  19. If a square matrix A is orthogonal as well as symmetric, then

    Text Solution

    |

  20. Let A be a skew-symmetric of odd order, then absA is equal to

    Text Solution

    |