Home
Class 12
MATHS
Find the vector quation of the plane con...

Find the vector quation of the plane containing the line of intersection of the planes x-3y+4z-5=0 and 2x-y+3z-1=0 and passing through the point (1,-2,3).

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane containing the line of intersection of the plane x+y+z-6=0\ a n d\ 2x+3y+4z=5=0 and passing through the point (1, 1,1).

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0 and x-y+z+3=0 and passing through the origin.

Find the equation of the plane passing through the line of intersection of the planes 2x-y=0 and 3z-y=0 and perpendicular to the plane 4x+5y-3z=8

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

Find the equation of the plane passing through the intersection of the planes x+y+z=6 and 2x+3y+4z+5=0 and the point (1,1,1)

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  2. Find the equation of the plane containing the line of intersection of ...

    Text Solution

    |

  3. Find the vector quation of the plane containing the line of intersecti...

    Text Solution

    |

  4. Find the equation of the plane which is perpendicular to the plane 5 x...

    Text Solution

    |

  5. Find the equation of the plane bisectiing the angles between the plane...

    Text Solution

    |

  6. Show that the lines (x+4)/3=(y+6)/5=(z-1)/-2 and 3x-2y+z+5=0=2x+3y+4z-...

    Text Solution

    |

  7. Prove that the line of section of the planes 5x+2y-4z+2=0 and 2x+8y+2z...

    Text Solution

    |

  8. Find the equations of the line through the point (1,2,4) and parallel ...

    Text Solution

    |

  9. Find the angle between the lines: x-2y+z=0=x+2y-2z and x+2y+z=0=3x+9y+...

    Text Solution

    |

  10. Prove that the lines x=py+q, z=ry+s and x=p'y+q'z=r'y+s' are at right ...

    Text Solution

    |

  11. Find the equations of the plane through the intersection of the planes...

    Text Solution

    |

  12. Find the equations of the plane which contains the line of intersectio...

    Text Solution

    |

  13. If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...

    Text Solution

    |

  14. Name the locus of the equation x^2+y^2=0.

    Text Solution

    |

  15. What is the locus of the equations x^2+y^2+z^2=0?

    Text Solution

    |

  16. Write the direction cosines of the Y-axis.

    Text Solution

    |

  17. What is the shortest distance between two intersecting lines?

    Text Solution

    |

  18. Direction cosines of hat i are ‘

    Text Solution

    |

  19. Write down direction cosines of the line (1-x)/1=(y-2)/1=(z-3)/1.

    Text Solution

    |

  20. What is the angle between the planes x+y=0 and z=0.

    Text Solution

    |