Home
Class 12
MATHS
If A=[(3,2),(1,1)] then A^(2)+xA+yI=0 fo...

If `A=[(3,2),(1,1)]` then `A^(2)+xA+yI=0` for (x,y) =

A

(1,3)

B

(4,-1)

C

(-1,3)

D

(-4,1)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos
  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Find X, if Y=[(3,2),(1,4)] and 2X+Y=[(1,0),(-3,2)]

The product of the perpendiculars from (1, 1) to the pair of lines x^(2)+4 x y+3 y^(2)=0 is

Find the value of x and y in [(x+2y, 2),(4, x+y)] - [(3,2),(4,1)] = 0 where 0 is a null matrix.

Find X and Y if, X+Y=[(5,2),(0,9)] and X-Y=[(3,6),(0,-1)] .

The coordinates of the orthocentre of the triangle formed by the lines 2 x^(2)-3 x y+y^(2)=0 and x+y=1 , are

If y = tan^(-1)((x+a)/(1-xa)) then (dy)/(dx) =

If (-2,2),(1,0),(x, 0),(1, y) form a parallelogram then (x, y)=

If A= [[1, x],[x^2,4 y]], B= [[-3,1],[1,0]] and adj A+B=[[1,0],[0,1]], then the value of x and y are respectively

If the tangents at (x_(1),y_(1)) and (x_(2),y_(2)) to the parabola y^(2)=4ax meet at (x_(3),y_(3)) then

If x_(1), x_(2), x_(3) as well as y_(1) , y _(2) , y _(3) are in G.P. with the same common ratio, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and ( x_(3), y _(3)) :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  2. If A is a 3xx3 nonsingular matrix and if |A|=3, then |(2A)^(-1)|=

    Text Solution

    |

  3. If A=[(3,2),(1,1)] then A^(2)+xA+yI=0 for (x,y) =

    Text Solution

    |

  4. If [{:(1,2,-1),(1,x-2,1),(x,1,1):}] is singular ,then the value of x ...

    Text Solution

    |

  5. If A and B are symmetric matrices of the same order, then which one of...

    Text Solution

    |

  6. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

    Text Solution

    |

  7. If A (adj .A ) = 5I , where I is idensity martrix of order 3 , then |...

    Text Solution

    |

  8. If A=[[3,2],[4,5]] and A C=[[19,24],[37,46]], then C=

    Text Solution

    |

  9. If A= (a(ij) ) is a scalar matrix of order nxx n such that a(ii)=k for...

    Text Solution

    |

  10. Let A be an invertible matrix, which of the following is not true?

    Text Solution

    |

  11. If the matrix A B is a zero matrix, then

    Text Solution

    |

  12. The value of x for which the matrix product [[2,0,7],[0,1,0],[1,-2,...

    Text Solution

    |

  13. A square matrix can always be expressed as

    Text Solution

    |

  14. If A B=A and B A=B, then B^2=

    Text Solution

    |

  15. If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

    Text Solution

    |

  16. If A = ((a,b),(c,d)) , such that ad - bc != 0 then A^(-1) is :

    Text Solution

    |

  17. If S=[[a,b],[c,d]] then adj A=

    Text Solution

    |

  18. If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

    Text Solution

    |

  19. If A= [[cos x, sin x],[-sin x, cos x]] and A(adj A)=k[[1,0],[0,1]] the...

    Text Solution

    |

  20. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

    Text Solution

    |