Home
Class 12
MATHS
Write the equation of a line, parallel t...

Write the equation of a line, parallel to the line `(x-2)/-3=(y+3)/2=(z+3)/6` and passing through the point (1,2,3).

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (- 2, 5).

Find equation of the line parallel to the line 3x-4y+ 2=0 and passing through the point (-2, 3).

Find the equation of the plane which is parallel to the line (x-4)/1=(y+3)/-4=(z+1)/7 and passes through the point (0,0,0) and (3,-1,2).

Write the direction cosine of a line parallel to the line : (3-x)/3=(y+2)/-2=(z+2)/6

Equation of the plane perpendicular to the line x/1=y/2=z/3 and passing through the point (2,3,4) is :

Find the vector equation of the line parallel to the line : (x-1)/5=(3-y)/2=(z+1)/4 and passing through (3,0,-4). Also find the distance between these two lines.

The equation of the plane perpendicular to the line (x-1)/(1), (y-2)/(-1), (z+1)/(2) and passing through the point (2, 3, 1) . Is

Find the equation of the plane parallel to the line (x-2)/1=(y-1)/3=(z-3)/2 , which contains the point (5,2,-1) and passes through the origin.

The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2 . Find :(a) the direction-ratios of the line, and (b) vector equation of the line parallel to this line and· passing through the point (2, - 1, - 1).

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The cartesian equations of a line are 3x + 1 = 6y - 2 = 1 - z. Find th...

    Text Solution

    |

  2. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  3. Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z...

    Text Solution

    |

  4. Find the equation of the line perpendicular to the lines : vecr=(3hati...

    Text Solution

    |

  5. Find the equations of the straight line passing through the point (2,...

    Text Solution

    |

  6. Find the equations of the straight line passing through the point (1, ...

    Text Solution

    |

  7. Find the vector and cartesian equations of the line passing through th...

    Text Solution

    |

  8. Find the equation in vector anf cartesian form of the line passing thr...

    Text Solution

    |

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

    Text Solution

    |

  10. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

    Text Solution

    |

  11. Show that the following points whose psitions vectors are given are co...

    Text Solution

    |

  12. Show that the following points whose psitions vectors are given are co...

    Text Solution

    |

  13. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

    Text Solution

    |

  14. Find the equations of the perpendicular from the point (3,-1,11,) to t...

    Text Solution

    |

  15. Show that the line joining the origin to the point (2, 1, 1) is perpen...

    Text Solution

    |

  16. Find the vector equation of a line passing through a point with positi...

    Text Solution

    |

  17. Find the vector equation of a line passing through the point with posi...

    Text Solution

    |

  18. Find the distance of the point (1,2,3) from the line joining the point...

    Text Solution

    |

  19. Find the distance of the point (1,2,3) from the co ordinate axes.

    Text Solution

    |

  20. Find the distance of (-1,2,5) from the plane passing through the poin...

    Text Solution

    |