Home
Class 12
MATHS
Find the cartesian equation of the line...

Find the cartesian equation of the line which passes through the point `(-2,4,-5)` and parallel and line are `(3,5,6)`. So, the equation of line is,
`(x-(-2))/(3) = (y-4)/(5) = (z-(-5))/(6)`.

Text Solution

Verified by Experts

The correct Answer is:
`(x + 2)/(3) = (y - 4)/(5) = (z + 5)/(6)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (C. TRUE/FALSE QUESTIONS)|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Find the cartesian equation of the line which passes through the point (-2,4,-5) and parallel to the line (x+3)/3 = (y-4)/5 = (z+8)/6

Find the Cartesian equation of the line which passes through the point (-2, 4, -5) and is parallel to the line (x+3)/3=(4-y)/5=(z+8)/6dot

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y=7.

Find the equation of a line passes through the points (3,4) and parallel to the line x+5y=1 .

Find the Cartesian equation of the line which passes through the point (2,4,5) and is parallel to the line (x+3)/(3)=(4-y)/(5)=(z+8)/(6)

Find the cartesian equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/(3)=(y-4)/(5)=(z+8)/(6)

Find the cartesian equation of the line which passes through the point (2,4,5) and parallel to the line given by (x+3)/(3)=(y-4)/(5)=(z+8)/(6)

The cartesian equation of a line passing through the origin and point (5,-2,3) is

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the Cartesian equation of the line with passes through the point (-2, 4, -5) and parallel to the line given by (x+3)/3=(y-4)/3=(z+8)/6dot

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -OBJECTIVE TYPE QUESTIONS (D. VERY SHORT ANSWER TYPE QUESTIONS )
  1. If a line makes angle 90^(@) and 60^(@) respectively with positively d...

    Text Solution

    |

  2. Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/...

    Text Solution

    |

  3. Write the vector equation of the line : (x - 5)/(3) = (y + 4)/(7) = ...

    Text Solution

    |

  4. The cartesian equations of line is : (x - 1)/(2) = (y - 2)/(3) = (z ...

    Text Solution

    |

  5. Find the vector equation of the line which passes through the point (3...

    Text Solution

    |

  6. Find the length of the perpendicular drawn from the point P (3, -4, 5)...

    Text Solution

    |

  7. The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the d...

    Text Solution

    |

  8. Find the cartesian equation of the line which passes through the poin...

    Text Solution

    |

  9. Find the acute angle between the plane : vec(r). (hati - 2hatj - 2 h...

    Text Solution

    |

  10. Write the equation of the plane passing through (a , b , c) and parall...

    Text Solution

    |

  11. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

    Text Solution

    |

  12. Find the vector equation of a plane which is at a distance of 5 units...

    Text Solution

    |

  13. Find the vector equations of the plane whose cartesian form of equatio...

    Text Solution

    |

  14. Find the cartesian equation of the plane vec(r). (2 hati + 3 hatj - 4 ...

    Text Solution

    |

  15. What are the direction-cosines of the normal to the plane 3x + 2y - 3z...

    Text Solution

    |

  16. Find the direction-cosines of the perpendicular from the origin to the...

    Text Solution

    |

  17. Find the the distance of a point (2,5, -3) from the plane vec(r).(6 ha...

    Text Solution

    |

  18. Find the value of 'k' for which the plane : 3x - 6y - 2z = 7 and 2x...

    Text Solution

    |

  19. Write the vector equation fo the line passing through the point (1,-2,...

    Text Solution

    |

  20. Write the equation of a plane which is at a distance of 5sqrt(3) units...

    Text Solution

    |