Home
Class 12
MATHS
Find the coordinates of the point where ...

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4,1) crosses the YZ- plane.

Text Solution

Verified by Experts

The correct Answer is:
`(0,(-13)/(2),(13)/(2))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the ZX- plane.

Find the co-ordinates of the point where the line through A(3, 4, 1) and B(5, 1, 6) cross the XY- plane.

Find the coordinates of the point where the line through (3, 4, 1) and (5, 1, 6) crosses XY-plane.

Find the coordinates of the point where the line through (3,--4,-5) and (2, -3, 1) crosses the plane 2x + y + z = 7.

Find the coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY-plane.

Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=(z+3)/(4) cross the planel x + y + 4z = 6.

Find the coordinates of a point which divides externally the line joining (1, -3) and (-3, 9) in the ratio 1 : 3.

Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2, -3)

Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, -3) in the ratio 2:3 .

Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the vector equation of a line passing| through (2, -1, 1) and par...

    Text Solution

    |

  2. squareABCD is a parallelogram. The position vectors of the points A, B...

    Text Solution

    |

  3. Find the coordinates of the point where the line through (5, 1, 6) and...

    Text Solution

    |

  4. Find the angle between the lines vecr = (3 + lambda)hati + 2(1 + l...

    Text Solution

    |

  5. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  6. Show that the lines (x-2)/(3)=(y+1)/(-2)=2 and (x-1)/(1)=(2y+3)/(3)=(z...

    Text Solution

    |

  7. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

    Text Solution

    |

  8. Find the values of p so that the lines (1-x)/(3)=(7y-14)/(2p)=(z-3...

    Text Solution

    |

  9. Find the shortest distance between the lines vecr =(8+3lambda) hati - ...

    Text Solution

    |

  10. Find the shortest distance between the lines vecr=(4hati-hatj)+lam...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the shortest distance between the lines vecr=(lambda-1)hati+(...

    Text Solution

    |

  13. Find the direction cosines of perpendicular from the origin to the pla...

    Text Solution

    |

  14. Find the vector equation of a plane which is at a distance 11 units fr...

    Text Solution

    |

  15. Find the vector equation of the plane vecr=hati-hatj+lambda(hati+hatj+...

    Text Solution

    |

  16. Find the cartesian equation of the plane through the point (2,-1, 1) a...

    Text Solution

    |

  17. Find the vector equation of the plane passing through the points (1, -...

    Text Solution

    |

  18. Find the value of a so that the four points with position vectors -hat...

    Text Solution

    |

  19. A plane meets the co-ordinate axes at A, B and C such that the centroi...

    Text Solution

    |

  20. Show that the plane through (1, 1, 1), (1,-1, 1) and (-7, 3, -5) is pe...

    Text Solution

    |