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

Find the equation of the plane passing through the point `(-1,3,2)` and perpendicular to each of the planes `x+2 y+3 z=5` and `3 x+3 y+z=0`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through (1,0,-2) and perpendicular to each of the planes 2x+y-z=2 and x-y-z=3

Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the plane 3x+2y-3z=1 and 5x-4y+z=5.

Find the equation of the line passing through point (3,8) and perpendicular to the line x+3y-7=0

The equation of the line passing through the point (3, 0, -4) and perpendicular to the plane 2x - 3y + 5z - 7 = 0 is

Find the equation of the plane through the points (2,2,1),(9,3,6) and perpendicular to the plane 2x+6y+6z-1=0.

Find the equation of the plane through the point (1,2,3) and perpendicular to the plane x-y+z=2 and 2x+y-3z=5

Find the equation of the plane that contains the point (1, -1, 2) and is perpendicualr to each of the planes 2x+3y-3z=5 and x+2y-3z=8

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

Find The equation of the plane passing through the points(2,1,0),(3,-2,-2) and (3,1,7).

Find the equation of the Plane passing through one point (-1,3,2) and bot r to the planes x+2y+3z=5 and 3x+3y+z=0

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the coordinates of the point where the line through (5, 1, 6) ...

    Text Solution

    |

  2. Find the co-ordinates of the point where the line through (3, -4, -5) ...

    Text Solution

    |

  3. Find the equation of the plane passing through the point (-1,3,2) and ...

    Text Solution

    |

  4. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

    Text Solution

    |

  5. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  6. If O be the origin and the co-ordinates of P be (1,2,-3), then find th...

    Text Solution

    |

  7. Find the equation of the plane which contains the line of intersectio...

    Text Solution

    |

  8. Find the distance of the point (-1,-5,-10) from the point of intersecț...

    Text Solution

    |

  9. Find the vector equation of the line passing through (1,2,3) and paral...

    Text Solution

    |

  10. Find the vector equation of the line passing through the point (1,2,-4...

    Text Solution

    |

  11. Prove that if a plane has the intercepts a, b, c and it is at a distan...

    Text Solution

    |

  12. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

    Text Solution

    |

  13. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

    Text Solution

    |

  14. Can a line have direction angles 45^circ, 60^circ, 135^circ?

    Text Solution

    |

  15. A line makes angles of 45^circ and 60^circ with the positive axes of X...

    Text Solution

    |

  16. Find the direction cosine of a line which makes equal angles with the...

    Text Solution

    |

  17. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

    Text Solution

    |

  18. Find d.c.'s of the line passing through the points 'P(4,3,-5)' and 'Q(...

    Text Solution

    |

  19. A line passes through the points (6,-7,-1) and (2,-3,1) Find the direc...

    Text Solution

    |

  20. Find the angle between the lines whose diréction ratios are '2,3,4' an...

    Text Solution

    |