Home
Class 12
MATHS
If O be the origin and the co-ordinates ...

If O be the origin and the co-ordinates of P be (1,2,-3), then find the equation of the plane passing through P and perpendicular to OP.

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

Consider the points P(1,3,4) &Q(-3,5,2) .Find the equation of the line passing through P and Q.

Find the equation of the line passing through (-4,3) and with slope 1/2

Consider the points A (1,2) and B (2,3) Let P and Q be the points of trisection of the segment joining A and B Find the equation of the line passing through P and perpendicular to AB

Consider the points A (1,2) and B (2,3) Let P and Q be the points of trisection of the segment joining A and B Find the equation of the line passing through Q and perpendicular to AB

Find the Cartesian equation of the plane passing through the point (1,2,-3) perpendicular to the vector2i-j+2k .

Find the equation of the plane passing through (1,1,-1),(2,3,5) and (-1,4,-5).

Find the equation of the line passing through the points (3,-2) and (-1,4).

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the obtuse angle between the lines with direction ratios '3,-6,2'...

    Text Solution

    |

  19. If points 'P, Q' are '(2,3,-6)' and '(3,-4,5)', find the angle that OP...

    Text Solution

    |

  20. If A, B, C, D are the points (3,4,5),(4,6,3),(-1,2,4) and (1,0,5), fin...

    Text Solution

    |