Home
Class 12
MATHS
If the system of linear equations x - ...

If the system of linear equations
x - 4y + 7z = g
3y - 5z = h
-2x + 5y - 9z = k
is consistent, then

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

The system of equation 3x + 4y + 5z = mu x + 2y + 3z = 1 4x + 4y + 4z = delta is inconsistent, then ( delta,mu ) can be

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

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

Add : 8x - 3y + 7z, -4x + 5y - 4z, -x - y - 2z

If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b has no solution, then (a) a=-1,b=9 (2) a=-1,b != 9 (3) a != -1 , b =9 (4) a=1,b != 9

Using matrices, solve the following system of linear equations: x - y+2z=7 ; 3x+4y- 5z=-5 ; 2x - y+3z=12

Examine the consistency of the system of equations 5x -y + 4z = 5," " 2x + 3y + 5z = 2," " 5x -2y + 6z = 1

Examine the consistency of the system of equations 3x -y - 2z = 2" " 2y -z = 1" " 3x - 5y = 3

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

  2. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  3. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

    Text Solution

    |

  4. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

    Text Solution

    |

  5. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  6. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  7. Let veca = 2hati+lambda1 hatj+3hatk, vec(b)=4hati+(3-lambda2) hatj+6ha...

    Text Solution

    |

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

    Text Solution

    |

  9. The area enclosed between the curves y=kx^2" and " x=ky^2,(kgt0) is 1 ...

    Text Solution

    |

  10. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  11. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  12. Let the length of the latus rectum of an ellipse with its major axis a...

    Text Solution

    |

  13. Let S={1,2,...,20}. A subset B of S is said to be ''nice'', if the sum...

    Text Solution

    |

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

    Text Solution

    |

  15. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  16. Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...

    Text Solution

    |

  17. The perpendicular distance from the origin to the plane containing the...

    Text Solution

    |

  18. If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its...

    Text Solution

    |

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

    Text Solution

    |

  20. Let A=[(1, sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], ...

    Text Solution

    |