Home
Class 12
MATHS
If A=[[(4)/(5),(3)/(5)],[x,(4)/(5)]] and...

If `A=[[(4)/(5),(3)/(5)],[x,(4)/(5)]]` and `A^(T)=A^(-1)` then x is :

A

`(4)/(5)`

B

`-(3)/(5)`

C

`-(4)/(5)`

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.8|25 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

A = [((3)/(5),(4)/(5)),(x,(3)/(5))] "and" A^(T)=A^(-1), then the value of x is

cot^(-1) (3/4) = sin^(-1) (x/5) then x is :

(1)/(3)x+(1)/(4)y=4,(5)/(6)x-(1)/(8)y=4

If A^(T)=[(4,5),(-1,0),(2,3)]and B=[(2,-1,1),(7,5,-2)] , verify the (A-B)^(T)=A^(T)-B^(T)

If A^(T)=((4,5),(-1,0),(2,3)) and B=((2,-1,1),(7,5,-2)) verify that (A-B)^(T)=A^(T)-B^(T)

Show that if f :R - {(7)/(5)} to R - {(3)/(5)} is defined by f (x) = (3x +4)/( 5x -7) and g :R - {(3)/(5)} to R - {(7)/(5)} is defined by g (x) = (7x +4)/(5x -3), then fog = I _(A) and gof =I _(B), where, A = R - {(3)/(5)}, B = R -{(7)/(5)},I_(A)(x) =x, AA x in A, I_(B) (x) =x , AA x in B are called identity functions on sets A and B, respectively.

(1)/(2(3x+4y))=(1)/(5(2x-3y))=(1)/(4),

(1)/(sqrt(x^(2)- 4 x + 5 ))

(x)/(4) lt ((5x-2))/(3) - ((7x-3))/(5)

PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. If adj A=[[2,1],[3,-1]], adj B=[[2,3],[-1,2]] then adj (AB) is :

    Text Solution

    |

  2. The rank of the matrix [[2,-1,2,4],[3,1,4,-1],[5,0,6,3]] is :

    Text Solution

    |

  3. If A=[[(4)/(5),(3)/(5)],[x,(4)/(5)]] and A^(T)=A^(-1) then x is :

    Text Solution

    |

  4. If A is a square matrix of order 4 then |adj A| is :

    Text Solution

    |

  5. If A=[[4,0],[1,2]] and B=[[1,3],[2,0]] then |adj AB| is :

    Text Solution

    |

  6. If A[[1,-3],[1,4]]=[[7,0],[0,7]] then A is :

    Text Solution

    |

  7. If P=[[1,0,x],[3,0,1],[-1,-2,4]] is the adjoint of (3xx3) matrix A and...

    Text Solution

    |

  8. If A is a non singular matrix such that A^(-1)=[[7,-2],[-3,1]] then (A...

    Text Solution

    |

  9. If A=[[2,3],[3,5]] and A(adj A) =[[k,0],[0,k]] then k is :

    Text Solution

    |

  10. If x^(2)y^(3)=e^(5), x^(3)y^(4)=e^(7) then y is :

    Text Solution

    |

  11. The angumented matrix of a system of linear equation is [[1,3,-2,5],[0...

    Text Solution

    |

  12. If A=[[3,-1,0],[2,4,1],[-2,-3,5]] the cofactor of 1 is :

    Text Solution

    |

  13. If A=[[2,5],[1,3]], 5I-A= :

    Text Solution

    |

  14. If A=[[-4,4,4],[-7,1,3],[5,-3,-1]], B=[[1,-1,1],[1,-2,-2],[2,1,3]] and...

    Text Solution

    |

  15. Match the following :

    Text Solution

    |

  16. Find the incorrect statement in the following :

    Text Solution

    |

  17. Find the incorrect statement in the following :

    Text Solution

    |

  18. Find the correct statement :

    Text Solution

    |

  19. Find the odd one out :

    Text Solution

    |

  20. Find the odd one out : If A=|[3,7],[4,9]| then its inverse is :

    Text Solution

    |