Home
Class 12
MATHS
If lt 1 and the system of equations x+y-...

If `lt` 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 is consistent then the possible real values of b are

A

b `in (- 3 , (3)/(4))`

B

`b in (-(3)/(2) , 4)`

C

`b in (- (3)/(4) , 3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If c lt 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 is consistent then the possible real values of b are

If c<1 and the system of equations x+y-1=0,2x-y-c=0, and bx+3by-c=0 is consistent,then the possible real values of b are b epsilon(-3(3)/(4))quad b.b epsilon(-(3)/(2),4) c.be (-(3)/(4),3) d.none of these

If the equations 2x+3y+1=0,2x+y-1=0 and ax+2y-b=0 are consistent, then

The system of equations 2x+y-5=0, x-2y+1=0 and 2x-14y-a=0 is consistent.Then a is equal to

If the system of equations 2x-3y+4=0,5x-2y-1=0 and 21x-8y+lambda=0 are consistent,then lambda is

If the system of equations x-ky-z=0,kx-y-z=0,x+y-z=0 has a nonzero solution,then the possible value of k are -1,2 b.1,2 c.0,1 d.-1,1

If the system of equation x+lambday+1=0,\ lambdax+y+1=0\ &\ x+y+lambda=0.\ is consistent the find the value of lambda

If the equation 2x+3y+1=0,3x+y-2=0, and ax+2y-b=0 are consistent,then prove that a-b=2

DISHA PUBLICATION-DETERMINANTS-EXERCISE -1 CONCEPT BUILDER
  1. If the area of triangle with vertices (2,-6), (5,4) and (k,4) is 35. T...

    Text Solution

    |

  2. Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4,...

    Text Solution

    |

  3. The rank of the matrix [{:(-1,2,5),(2,-4,a-4),(1,-2,a+1):}] is

    Text Solution

    |

  4. If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}|, ...

    Text Solution

    |

  5. Consider the system of linear equations a(1)x+b(1)y+ c(1)z+d(1)=0, ...

    Text Solution

    |

  6. " If " Delta(1) =|{:(x,,b,,b),(a,,x,,b),(a,,a,,x):}|" and " Delta(2)...

    Text Solution

    |

  7. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  8. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

    Text Solution

    |

  9. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  10. If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3...

    Text Solution

    |

  11. Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...

    Text Solution

    |

  12. The system of linear equations x + y + z = 2 2x + y -z = 3 3x + ...

    Text Solution

    |

  13. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

    Text Solution

    |

  14. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  15. The system of equations alpha x + y + z = alpha - 1 x + alpha y + =...

    Text Solution

    |

  16. If lt 1 and the system of equations x+y-1=0 2x-y-c=0 and -bx+3by-c =0 ...

    Text Solution

    |

  17. For what value of m does the system of equations 3x+m y=m ,2x-5y=20 ha...

    Text Solution

    |

  18. The system of simulataneous equations kx + 2y -z = 1 (k -1) y -2z ...

    Text Solution

    |

  19. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  20. If a system of three linear equations x+4a y+a=0,x+3b y+b=0,a n dx+2c ...

    Text Solution

    |