Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the line x = y = z and the point (3,2,1).

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    SHARAM PUBLICATION|Exercise EXAMPLE|115 Videos

  • VECTORS

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

find the equation to the plane passing through the line x=y=z and the point (-1,3,4).

Find the equation of the plane passing through the line of intersection of the planes 2x+3y-z+1= 0 and x+y-2z+3= 0 , which is perpendicular to 3x-y-2z-4=0 .

Find the equation of the plane passing through the line (x-8)/3=(y+19)/-16=(z-10)/7 and the point (1,2,-4) .

Find the equation of the plane passing through the line of intersection of the planes. x + 3y + 6 = 0 , 3x - y - 4z = 0 and the point (1,1,1) .

Find the equations of the plane passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 .

Find the equation of the plane passing through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  2. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

    Text Solution

    |

  3. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  4. Find the equation of the plane which passes through (1, 1, 2) and par...

    Text Solution

    |

  5. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

    Text Solution

    |

  6. Find the distance between the parallel planes 3x - 2y + 6z - 7 = 0 and...

    Text Solution

    |

  7. Find the number of points (x, y, z) in space other than the point (1,-...

    Text Solution

    |

  8. Write the equation of the plane passing through (3,-6,-9) and parallel...

    Text Solution

    |

  9. Find the equation of the plane passing through the points (-2, 3, 5), ...

    Text Solution

    |

  10. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  11. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |

  12. Write the axis to which the plane by+cz+d=0 is parallal.

    Text Solution

    |

  13. Find the shortest distance between the lines (x-1)/(2) = (y-2)/(3) =...

    Text Solution

    |

  14. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  15. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

    Text Solution

    |

  16. Prove that the four points (0, 4, 3), (-1, -5, -3), (-2, -2, 1) and (1...

    Text Solution

    |

  17. Find the distance from the line x/2 = y/3 = z/1 to the point (4, 5, 2)...

    Text Solution

    |

  18. A variable plane is at a constant distance 3r from the origin and meet...

    Text Solution

    |

  19. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

    Text Solution

    |

  20. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |