Home
Class 12
MATHS
consider the following system of equatio...

consider the following system of equation
`alphax+y+z=m`
`x=alphay+z=n`
`x+y+alphaz=p`
Which of thee following statement is correct?

Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX -JA|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Consider the equation Z= (PV)/(RT) . Which of the following statements is correct?

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

Consider the equation Z=(PV)/(nRT) , which of the following statements is correct?

Consider the system of equations alphax+y+z = p, x+alphay+z=q and x+y+alphaz=r , then the sum of all possible distinct value(s) of alpha for which system does not possess a unique solution is

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=1\ &\ m!=p then the system of linear equations has- a. no solution b. \ infinite solutions c. unique solution d. \ unique solution if\ p=n

Solve the following system of equations: x-y+z=4,\ \ \ \ x-2y-2z=9,\ \ \ \ 2x+y+3z=1

Solve the following system of equations by matrix method: x-y+z=2,\ \ 2x-y=0, \ \ 2y-z=1

Solve the following system of equations by matrix method: x+y-z=3 , 2x+3y+z=10 ,3x-y-7z=1

Comprehension 2 Consider the system of linear equations alphax+y+z=m x+alphay+z=n x+y+alphaz=p If alpha=-2\ 7\ m+n+p!=0 then system of linear equations has- a. no solution b. infinite solutions c. unique solution d. finitely many solution

ALLEN-DETERMINANTS-All Questions
  1. If A is an invertble matrix of order 2 then (det A ^-1) is equal to...

    Text Solution

    |

  2. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

    Text Solution

    |

  3. consider the following system of equation alphax+y+z=m x=alphay+z=...

    Text Solution

    |

  4. Comprehension 2 Consider the system of linear equations alphax+y...

    Text Solution

    |

  5. Comprehension 2 Consider the system of linear equations alphax+y...

    Text Solution

    |

  6. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

    Text Solution

    |

  7. The system of equations x+2y+3z=4 , 2x+3y+4z=5, 3x+4y+5z=6 h...

    Text Solution

    |

  8. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

    Text Solution

    |

  9. Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, ...

    Text Solution

    |

  10. Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ...

    Text Solution

    |

  11. Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d1=|A B C x y z y z z xx ...

    Text Solution

    |

  12. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

    Text Solution

    |

  13. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

    Text Solution

    |

  14. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

    Text Solution

    |

  15. Find the area of the triangle with vertices at the points: (-1 ,-8 ), ...

    Text Solution

    |

  16. By using properties of determinants. Show that: |1+a^2-b^2 2a b-2b2a b...

    Text Solution

    |

  17. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2) .

    Text Solution

    |

  18. Absolute value of sum of roots of the equation |[x+2,2x+3, 3x+4],[ 2x+...

    Text Solution

    |

  19. If a+b+c=0, one root of |a-x c b c b-x a b a c-x|=0 is x=1 b. x=2 c. ...

    Text Solution

    |

  20. Prove that |b+c a a b c...

    Text Solution

    |