Home
Class 11
MATHS
If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] a...

If `A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)]` and `A A^(T)=I_(3)` then `x+y=`

A

`-3`

B

`-2`

C

`-1`

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DETERMINANTS|33 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise INVERSE OF A MATRIX|8 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If A=1/3[(1,2,2),(2,1,-2),(x,-2,y)] such that A A^(T)=A^(T)A=I , find (x,y).

If the hyperbola xy=c^(2) intersects the circle x^(2)+y^(2)=a^(2)" is four points "P(x_(1),y_(1)), Q(x_(2),y_(2)), R(x_(3),y_(3)) and S(x_(4),y_(4)) then show that (i) x_(1)+x_(2)+x_(3)+x_(4)=0 (ii) y_(1)+y_(2)+y_(3)+y_(4)=0 (iii) x_(1)x_(2)x_(3)x_(4)=c^(4) (iv) y_(1)y_(2)y_(3)y_(4)=c^(4)

If |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=|(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1)| , then the two triangles with vertices (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) and (a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3)) must be

If (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_3), z_(3)) are the vertices of an equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)+(z_(1)-4)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)+(z_(2)-4)^(2)=(x_(3)-2)^(3)+(y_(3)-3)^(2)+(z_(3)-4)^(2) then sum x_(1)+2sumy_(1)+3sum z_(1)=

Prove that the area of the triangle formed by the tangents at (x_(1),y_(1)),(x_(2)) "and" (x_(3),y_(3)) to the parabola y^(2)=4ax(agt0) is (1)/(16a)|(y_(1)-y_(2))(y_(2)-y_(3))(y_(3)-y_(1))| sq.units.

If (1)/(1 + x+ x ^(2) + x ^(3)) then y _(2) (0) =

If (x_(1), y_(1)), (x_(2), y_(2)), (x_(3), y_(3)) are the vertices of an equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)=(x_(3)-2)^(2)+(y_(3)-3)^(2) then x_(1)+x_(2)+x_(3)+2(y_(1)+y_(2)+y_(3))=

If x=(3at)/(1+t^2),y=(3at^2)/(1+t^2) then (dy)/(dx) =

(x+3)/(2)-y=2,(x-3)/(2)+2y-4(1)/(2) then x=……..

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-ALGEBRA OF MATRICES
  1. If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then A(a...

    Text Solution

    |

  2. If A=[(1,2-3i,3+4i),(2+3i,0,4-5i),(3-4i,4+5i,2)] then A is

    Text Solution

    |

  3. If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I(3) then x+y=

    Text Solution

    |

  4. If A=((cos^(2)alpha , cos alpha sin alpha),(cos alpha sin alpha, sin^(...

    Text Solution

    |

  5. If A=[(cos theta, sin theta),(- sin theta, cos theta)] then lim(nto oo...

    Text Solution

    |

  6. If A=[a(ij)](n xx n) and a(ij)=i(i+j) then trace of A =

    Text Solution

    |

  7. The number of 2xx2 matrices that can be formed by using 1, 2,3,4 then...

    Text Solution

    |

  8. If A=[a(ij)](n xx n) such that a(ij)=(i+j)^(2) then trace of A is

    Text Solution

    |

  9. If A=[(cos alpha, -sinalpha),(sin alpha, cos alpha)], then A+A^(T)=I, ...

    Text Solution

    |

  10. Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,...

    Text Solution

    |

  11. If A is square matrix such that A^(2)=A, then (I+A)^(3)-7A is equal to

    Text Solution

    |

  12. For the matrix A=[(3,2),(1,1)], the vlaues of a and b such that A^(2)...

    Text Solution

    |

  13. Matrix A has x rows aand x+4 columns and another matrix B has y rows a...

    Text Solution

    |

  14. If A=[(0, x),(y, 0)] and A^(3)+A=O then

    Text Solution

    |

  15. If omega is a complex cube root of unity and A=[(omega,0),(0, omega)]...

    Text Solution

    |

  16. If A, B are two square matrices such that AB=B, BA=A and n in N then...

    Text Solution

    |

  17. If A=[(1, 2, x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)...

    Text Solution

    |

  18. Let A and B be any two 3 xx 3 matrices. If A is symmetric and B is ske...

    Text Solution

    |

  19. Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA...

    Text Solution

    |

  20. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |