Home
Class 12
MATHS
An ordered pair (alpha, beta) for which ...

An ordered pair `(alpha, beta)` for which the system of linear equations
`(1 + alpha) x +beta y +z = 2`
`alphax + (1+beta)y+z = 3`
`alphax + beta y + 2z = 2`
has a unique solution, is

A

(1,-3)

B

(-3,1)

C

(2,4)

D

(-4,2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

An ordered pair (alpha,beta) for which the system of linear equations (1+alpha)x+beta y+z=2alpha x+(1+beta)y+z=3 and alpha x+beta y+2z=2 has unique solution is: (a) (2,4)(b)(-3,1)(c)(-4,2)(d)(1,-3)

For what ordered pair (alpha, beta) the system of equations (1+alpha)x+betay+z=0, alphax+(1+beta)y+z=0 ax+betay+2z=0 has unique solution (A) (-3,1) (B) (2,4) (C) (-4,2) (D) (1,-3)

Consider the system of equations : x + y + z = 0 alpha x + beta y + gamma z = 0 alpha^(2) x + beta^(2) y + gamma^(2) z = 0 then the system of equations has

If x = sin alpha, y = sin beta, z = sin (alpha + beta) then cos (alpha + beta) =

For what value(s) of alpha will the system of linear equations alphax + 3y = alpha - 3 and 12x + alpha y = alpha has a unique solution?

If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 such that alpha ne beta and ||x-beta|-alpha|| le alpha , then

10/Find the value of alpha and beta for which the following system of linear equations has infinite number of solutions 2x+3y=7,2 alpha x+(alpha+beta)y=28

Find the values of alpha and beta for which the following system of linear equations has infinite number of solutions: 2x+3y=7,quad 2 alpha x+(alpha+beta)y=28

If the system of equations 2x 3y – z = 5 x alpha y 3z = –4 3x – y beta z = 7 has infinitely many solutions, then 13 alpha beta is equal to

If alpha + beta + gamma = 2pi , then the system of equations x + (cos gamma)y + (cos beta)z = 0 (cos gamma) x + y + (cos alpha)z = 0 (cos beta )x + (cos alpha)y + z = 0 has :

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
  1. A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...

    Text Solution

    |

  2. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  3. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  4. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  5. Let A=|{:(,0,21,r),(,p,q,-r),(,p,-q,r):}|=A A^(T)=I(3) then |p| is

    Text Solution

    |

  6. If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x...

    Text Solution

    |

  7. Let A and B be two invertible matrices of order 3 xx 3. If "det"(ABA^(...

    Text Solution

    |

  8. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  9. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

    Text Solution

    |

  10. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  11. The greatest value of c in R for which the system of linear equations ...

    Text Solution

    |

  12. Let A = [{:("cos"alpha, -"sin"alpha), ("sin"alpha, "cos"alpha"):}], (a...

    Text Solution

    |

  13. If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y...

    Text Solution

    |

  14. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  15. The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y,...

    Text Solution

    |

  16. If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y...

    Text Solution

    |

  17. If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 ...

    Text Solution

    |

  18. Let lambda be a real number for which the system of linear equations ...

    Text Solution

    |

  19. If A is a symmetric matrix and B is a skew-symmetric matrix such that ...

    Text Solution

    |

  20. If B=[{:(5,2alpha,1),(0,2,1),(alpha,3,-1):}] is the inverse of a 3xx3 ...

    Text Solution

    |