Home
Class 12
MATHS
The system of equations 'alpha' x+y+z=1...

The system of equations `'alpha'` `x+y+z=1,x+2y+4z=alpha` and `x+4y+10 z=alpha^2` is consistent, if `'alpha'` = ?
A. 0
B. 1
C. 2
D. 3

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The system of lienar equations x-y+z=1 x+y-z=3 x-4y+4z=alpha has

The system of equations alpha x-y-z=alpha-1 , x-alpha y-z=alpha-1,x-y-alpha z=alpha-1 has no solution if alpha

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha is

The system of equations alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+alpha(z-1)=-1 has no solution, if alpha is equal to

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1 has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (D) -2

The value of alpha for which the system of equations x+y+z=1, x+2y+4z=alpha, x+4y+10z=alpha^2 has no solution is (A) -1 (B) 0 (C) 3 (D) 2

If the system of equations x+y+z=1,x+2y+4z=n and x+4y+10z=n^(2) .are consistent, then the sum of the values of n is-...

RESONANCE DPP-JEE MAINS-All Questions
  1. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  2. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

    Text Solution

    |

  3. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

    Text Solution

    |

  4. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  5. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

    Text Solution

    |

  6. If |x^2-5x+3 2x-5 3 3x^2+x+4 6x+1 9 7x^2-6x+9 14 x-6 21| =a x^3+b x^...

    Text Solution

    |

  7. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

    Text Solution

    |

  8. The equation of a line which is parallel to the line common to the pai...

    Text Solution

    |

  9. If y = x^3-3x + 2, then draw the graph of the followings (i) y=|x^3-3x...

    Text Solution

    |

  10. If point (a ,a) lies in between the lines |x+y|=6 , then ' a ' may sat...

    Text Solution

    |

  11. If sintheta+costheta=1/5"and"0 le theta ltpi, thentantheta is

    Text Solution

    |

  12. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  13. If a x ^2+b x+c=0 has imaginary roots and a-b+c >0 then the set of p...

    Text Solution

    |

  14. From a point "P" on the line 2x y 4 which is nearest to the circle x2 ...

    Text Solution

    |

  15. If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=...

    Text Solution

    |

  16. ABC is a right triangle, right - angled at the vertex A. A circle is d...

    Text Solution

    |

  17. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  18. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  19. Sn=3/(1^2)+3/(1^2+2^2)+7/(1^2+2^2+3^2)+ upto n terms, then Sn=(6n)/(n+...

    Text Solution

    |

  20. Let A (-2, 0) and B(2, 0), then the number of integral values of a, a ...

    Text Solution

    |