Home
Class 11
MATHS
Let (x,y,z) be points with Integer coord...

Let (x,y,z) be points with Integer coordinates satisfying the system of homogeneous equations 3x-y-z=0,-3x+2y+z=0,-3x+z=0.Then the number of such points for which `x^2+y^2+z^2le100`is

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Solve the following system of homogeneous equations. x+2y-z=0,x-2y+2z=0,x+z=0

Solve the following system of homogeneous equations: x+y-z=0 ,x-2y+z=0,3x+6y-5z=0

2x-y+z=6,x+2y+3z=3,3x+y-z=4

The linear system of equations {:(8x-3y-5z=0),(5x-8y+3z=0),(3x+5y-8z=0):}} has

x+2y-2z=5,3x-y+z=8,x+y-z=4

The system of equation x+y+2z=1, x+2y+3z=2, x+4y+alphaz=4 . Has unique then

Consider the system of equations : x sintheta-2ycostheta-az=0 , x+2y+z=0 , -x+y+z=0 , theta in R

If the system of equations x+2y+3z=1, 2x+ky+5z=1, 3x+4y+7z=1 has no solutions, then -

x+2y-3z=0,3x+3y-z=5,x-2y+2z=1

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If alpha,beta be the roots x^2+px-q=0 and gamma,delta be the roots of ...

    Text Solution

    |

  2. The smallest value of k, for which both roots of the equation x^2-8kx+...

    Text Solution

    |

  3. Let (x,y,z) be points with Integer coordinates satisfying the system o...

    Text Solution

    |

  4. If roots of the equation x^2-10cx-11d=0 are a,b and those of x^2-10ax-...

    Text Solution

    |

  5. If alpha,beta,gamma are such that alpha+beta+gamma=4, alpha^2+beta^2+g...

    Text Solution

    |

  6. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  7. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  8. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  9. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  10. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  11. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  12. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  13. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  14. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  15. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  16. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  17. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  18. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  19. Show that the equation A^2/(x-a)+B^2/(x-b)+C^2/(x-c)+.....+H^2/(x-h)=...

    Text Solution

    |

  20. Solve the equation (x^2-6x)^2=81+2(x-3)^2

    Text Solution

    |