Home
Class 12
MATHS
If O be the origin and the coordinates o...

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

Text Solution

Verified by Experts

The correct Answer is:
`therefore x+2y+3z-14=0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise EXERCISE-11.3|14 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

What is the equation of line passing through (1, 2, 3) and perpendicular to 3x+4y -5z=6 ?

Find the equation of the line passing through (-3,5) and perpendicular to the line through the points (2,5) and (-3,6) .

The equation of the plane passing through A(3,1,2) and perpendicular to harr(AB) is ......... Where B(1,-2,-4).

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr.(hati+hatj+hatk)=2 .

The equation of the plane passing through (1,-3,-2) and perpendicular to the planes x+2y + 3z = 5 and 3x + 3y+2z = 8 is .............

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

The equation of the plane passing through the mid point of the line points (1, 2, 3) and (3, 4, 5) and perpendicular to it is

If O is the origin and A is (a, b, c), then find the direction cosines of the line OA and the equation of plane through A at right angle to OA.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MISCELLANEOUS EXERCISE-11
  1. Find the equation of a line parallel to X- axis and passing through th...

    Text Solution

    |

  2. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

    Text Solution

    |

  3. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  6. Find the shortest distance between lines vecr=6hati+2hatj+2hatk+la...

    Text Solution

    |

  7. Find the coordinates of the point where the line through (5, 1, 6) and...

    Text Solution

    |

  8. Find the coordinates of the point where the line through (5, 1, 6) and...

    Text Solution

    |

  9. Find the coordinates of the point where the line through (3,--4,-5) an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If O be the origin and the coordinates of P be (1, 2, - 3), then find ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find the vector equation of the line passing through the point (1, 2, ...

    Text Solution

    |

  18. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  19. Distance between the two planes : 2x + 3y + 4z = 4 and 4x + 6y + 8z = ...

    Text Solution

    |

  20. The planes : 2x – y + 4z = 5 and 5x – 2.5 y + 10 z = 6 are

    Text Solution

    |