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+betay+z=2`, `alphax+(1+beta)y+z=3` and `alphax+betay+2z=2` has unique solution is: (a) (2,4) (b) (-3,1) (c) (-4,2) (d) (1,-3)

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

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

The number of real values of alpha for which the system of equations {:(x+3y+5z=alphax),(5x+y+3z=alpha y),(3x+5y+z= alpha z):} has infinite number of solutions is

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0, alphax+(alpha+b)y+alphaz=0, alphax+alphay+(alpha+c)z=0 has a non-trivial solution if

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

The system of equation x+y+2z=1, x+2y+3z=2, x+4y+alphaz=4 . Has unique then

If the system of equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + alphaz = beta has infinitely many solution, then beta - alpha equals

If cos(alpha-beta)=3sin(alpha+beta),t h e n 1/(1-3sin2alpha)+1/(1-3sin2beta)= (a) 1/2 (b) (-1)/2 (c) 1/4 (d) (-1)/4

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0' has a non-trivial solution if alpha^(-1)= (A) -(a^(-1)+b^(-1)+c^(-1)) (B) a+b+c (C) alpha+a+b+c=1 (D) none of these

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

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

    Text Solution

    |

  3. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

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

    Text Solution

    |

  5. Using the properties of determinants, prove that following |(a-b-c,2a,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  9. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  10. Let d in R and A= ((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sinthet...

    Text Solution

    |

  11. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

    Text Solution

    |

  12. Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] If A A^T=I3 then |p|=

    Text Solution

    |

  13. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

    Text Solution

    |

  14. Let P=[[1,0,0],[4,1,0],[16,4,1]]and I be the identity matrix of order ...

    Text Solution

    |

  15. If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)], then ...

    Text Solution

    |

  16. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  17. An urn contains 5 red and 2 green balls. A ball is drawn at random fro...

    Text Solution

    |

  18. An unbiased coin is tossed. If the result is a head, a pair of unbi...

    Text Solution

    |

  19. If the probability of hitting a target by a shooter, in any shot is 1/...

    Text Solution

    |

  20. In a random experiment, a fair die is rolled until two fours are obtai...

    Text Solution

    |