Home
Class 12
MATHS
Find the vector equations to the locus o...

Find the vector equations to the locus of a point whose distance from the point `C(alphahati+betahatj+gammahatk)` is constant equal to a.

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 to the locus of a point whose distance from the (-1,3,4) is 12.

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Find the locus of a point which is equidistant from both axis.

Find the equation of the locus of all points, the sum of whose distances from (3, 0) and (9, 0) is 12.

The equation of the locus of points equidistant from (-1-1) and (4,2) is

Find the equation of the locus of the points twice as from (-a, 0) as from (a, 0).

Write the equation to the locus of a point which is always at a fixed distance 'r' from the origin.

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the vector equation of the plane whose cartesian from of the equation is x-2y+32+1=0

Find the locus of a point whose sum of the distances from the origin and the line x = 2 is 4 units.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.

    Text Solution

    |

  2. Write the equation to the locus of a point which is always at a fixed ...

    Text Solution

    |

  3. Find the vector equations to the locus of a point whose distance from ...

    Text Solution

    |

  4. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

    Text Solution

    |

  5. Write the distance of the plane 2x-y+2z+1=0 from the origin.

    Text Solution

    |

  6. Write the direction of cosines of the line joining the poidnts (1,0,0)...

    Text Solution

    |

  7. Write the vector equations of the plane throught the point (a,b,c) and...

    Text Solution

    |

  8. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

    Text Solution

    |

  9. Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...

    Text Solution

    |

  10. Write down the direction cosines of the line whose equations are 5x-3=...

    Text Solution

    |

  11. Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...

    Text Solution

    |

  12. If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...

    Text Solution

    |

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

    Text Solution

    |

  14. If a line has the direction ratios –18, 12, – 4, then what are its dir...

    Text Solution

    |

  15. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

    Text Solution

    |

  16. Find the direction cosines of the sides of the triangle whose vertices...

    Text Solution

    |

  17. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

    Text Solution

    |

  18. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

    Text Solution

    |

  19. Show that the line through the points (4,7,8) and (2,3,4) is parallel ...

    Text Solution

    |

  20. Find the equation of the line which passes through the point (1, 2, 3)...

    Text Solution

    |