Home
Class 12
MATHS
If the system of equation x – 2y + z = -...

If the system of equation `x – 2y + z = -4, x + y + lambda z=4 and 2x – y + 2 z = 2` has no solution, then `lambda` lies in

A

`(0, 3/4)`

B

`(3/4, 5/4)`

C

`(5/4, 2)`

D

`(2, 4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 65

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
  • NTA TPC JEE MAIN TEST 67

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

The system of equation -2x + y + z = 1, x – 2y + z = –2, x + y + lambdaz = 4 will have no solution if

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

If the system of equations 3x-y+4z=3,x+2y-3z=-2 and ,6x+5y+ lambda z=-3 has infinite number of solutions then lambda =

The value of a such that the system of equations x-2y+z=-4, 2x – y +2z = 2 and x+y+az = 4, has no solution , is a) 0 b)1 c)3 d)-1

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 66-MATHEMATICS
  1. abs(z1+z2)^2+abs(z1-z2)^2 is equal to

    Text Solution

    |

  2. If the system of equation x – 2y + z = -4, x + y + lambda z=4 and 2x –...

    Text Solution

    |

  3. The number of ways in which three people can divide six identical appl...

    Text Solution

    |

  4. The number of integral values of lambda for which x^2 + y^2 + 2lambd...

    Text Solution

    |

  5. Consider the normals drawn at three different points on the parabola y...

    Text Solution

    |

  6. The locus of the centre of the circle described on any focal chord of ...

    Text Solution

    |

  7. Let E and F be two independent events such that P (E) > P(F). The prob...

    Text Solution

    |

  8. A non-zero vector veca is parallel to the line of intersection of the ...

    Text Solution

    |

  9. If y=tan^-1" "(2^x)/(1+2^(2x+1)), then (dy)/(dx) at x=0 is

    Text Solution

    |

  10. If A, B, C are angles of a triangle such that lim(x to oo)[(sin(Ax^2...

    Text Solution

    |

  11. f(x)=sin x AA x in [0,pi/2],f(x) and +f(pi-x)=2AA x in (pi/2, pi]f(x)=...

    Text Solution

    |

  12. Equation of curve passing through P(1,1) represented by any (dy)/(dx)=...

    Text Solution

    |

  13. If An=sinntheta.sec^n theta, Bn=costheta then . Sec^n theta, (Bn-B(n...

    Text Solution

    |

  14. The centre of the ellipse ((x+y-2)^2)/16+((x-y)^2)/9=1 is

    Text Solution

    |

  15. If -pi/2 le x le pi/2, then the two couves y=cos x and y=sin 3x inters...

    Text Solution

    |

  16. If x=1/5 the value of cos (cos^(-1)x+2 sin^(-1)x) is

    Text Solution

    |

  17. The prabability of getting the sum more than 7 when a pair of dice is ...

    Text Solution

    |

  18. The area bounded by the curve f(x) = cos^-1(cos x), x in [0, 2pi] with...

    Text Solution

    |

  19. The variance of the first n natural number is

    Text Solution

    |

  20. Consider following statements Statement - I : (p^~a)^(vpng) is a fal...

    Text Solution

    |