Home
Class 12
MATHS
Obtain the equation of the line through ...

Obtain the equation of the line through the point (1, 2, 3) and parallel to the line `x-y+2z-5=0 , 3x+y+z=-6`

Text Solution

Verified by Experts

The correct Answer is:
`(z - 3)/(4)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 3|20 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|12 Videos

  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line through the point (3, -1, 2) and parallel to the planes x+y+2z-4=0 and 2x-3y+z+3=0

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

Find the equation of the line through the point (2, 3, 5) and parallel to the line (x - 3)/2 = (y + 1)/1 = (z + 7)/4 .

Obtain the equation of the line through the point (1, 2, -3) and perpendicular to each of the lines x+4y-3z=0=2x-5y+7 and y+3z-2=0=x+2z+5

Obtain the equation of straight lines : Passing through (-4,2) and parallel to the line 4x-3y = 10

Write theequationofthelinepassing through the point (4, —6,1) and parallel to the line x-1/1 = y+2/3 = z-1/-1 .

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Find the equation of a line parallel to Y-axis and passing through the...

    Text Solution

    |

  2. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

    Text Solution

    |

  3. Obtain the equation of the line through the point (1, 2, 3) and parall...

    Text Solution

    |

  4. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  5. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

    Text Solution

    |

  6. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  7. Using the method of elemination find the symmetrical form of equation ...

    Text Solution

    |

  8. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

    Text Solution

    |

  9. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  10. Determine the symmetric form of the equation to the line of intersecti...

    Text Solution

    |

  11. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  12. Find the intersection of the line passing through the points (3, -2, 1...

    Text Solution

    |

  13. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

    Text Solution

    |

  14. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  15. Find the angle between the pair of lines (x+3)/(3) = (y-1)/(5) = (z+...

    Text Solution

    |

  16. Find the shortest distance between the lines  (x-3)/(1) = (y - 5)/(-2)...

    Text Solution

    |

  17. Find the angle between the plane x+y+4=0 and the line (x+3)/2=(y-1)/1=...

    Text Solution

    |

  18. Find the equation of the plane through (6,3,1) and (8,-5,3) parallel t...

    Text Solution

    |

  19. Find the shortest distance between the lines (x - 3)/(3) = (y - 8)/(-1...

    Text Solution

    |

  20. Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...

    Text Solution

    |