Home
Class 12
MATHS
Find the equation of line through the or...

Find the equation of line through the origin and a point where line `(x-1)/2=(y-2)/4=(z-3)/4`. Cuts
the z-axis.

Text Solution

Verified by Experts

The correct Answer is:
`x=0, y=0, or x/0=y/0=z/1`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - A|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise Illustration|4 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Find the equation of line which passes through a point where line given by (x-1)/-1=(y_-2)/3=(z-4)/6 cuts the x axis and is parallel to the line x/2=(y+1)/3=(z-2)/4 .

Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane 2x+4y-z=1 .

If 4x+4y-lambdaz=0 is the equations of the plane through the origin that contains the line (x-1)/2=(y+1)/3=z/4, find the value of lambdadot

Find the equation of a line which passes through the point (1,1,1) and intersects the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4)and(x+2)/(1)=(y-3)/(2)=(z+1)/(4)

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5

Find the equations of the line passing through the point (1,-2,3) and parallel to the line (x-6)/(3) =(y-2)/(-4) =(z+7)/(5) Also find the vector form of this equations so obtained .

Find the equation of the line passing through the intersection of (x-1)/(2)=(y-2)/(-3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z and also through the point (2,1,-2)

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

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  2. Find the equation of line through the points P(1, 2, 3) and Q(3, 4, 5)...

    Text Solution

    |

  3. Find the equation of line through the origin and a point where line (x...

    Text Solution

    |

  4. Find the angle between the lines given by vecr=(2hati+3hatj+4hatk)-l...

    Text Solution

    |

  5. Find the angle between the lines vecr = (hati+hatj)+lambda (hati+hat...

    Text Solution

    |

  6. Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and...

    Text Solution

    |

  7. Find the angle between the lines, one of which is parallel to the line...

    Text Solution

    |

  8. Find the shortest distance between the lines l(1) and l(2) whose vecto...

    Text Solution

    |

  9. Find the shortest distance between the lines l(1) and l(2) given by ...

    Text Solution

    |

  10. Find the shortest distance between the lines vecr =lambda (2hati+ 3h...

    Text Solution

    |

  11. Find the shortest distance between the lines vecr = hati+ hatj+hatk+...

    Text Solution

    |

  12. Find the shortest distance between the lines (x-1)/2=(y-2)/4=(z-3)/7...

    Text Solution

    |

  13. Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 a...

    Text Solution

    |

  14. Find the vector equation of the plane which is at a distance of 5 unit...

    Text Solution

    |

  15. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  16. Find the equation of plane in Cartesian form which is at a distance of...

    Text Solution

    |

  17. Find the distance of the plane 2x - 3y + 4z = 6 from the origin.

    Text Solution

    |

  18. Find the foot of perpendicular drawn from the point P(0, 0, 0) to the ...

    Text Solution

    |

  19. Consider the plane 10x - 5y + 4z = 20, find the point which is closest...

    Text Solution

    |

  20. Find the equation ot the plane through the point p(5, 3, -1) perpendic...

    Text Solution

    |