Home
Class 12
MATHS
Show that the points A(2, 3, -4), B(1, -...

Show that the points A(2, 3, -4), B(1, -2, 3) and C(3, 8, -11) are collinear.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 3|20 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

Show that the points P(1,2,-5) , Q (0, -3, 2) and R(-1, -8, 9) are collinear.

Show that the point (3, -2, 4), (1, 1, 1) and (-1, 4,-2)are collinear.

Show by vector method that the point P(3,-2, 4),Q(1,1 1)and R(-1,4,-2)are collinear.

Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) are collinear.

Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

Are the points A (2,6,3), B (1,2,7) and (3,10,-1) collinear?

Show that the points A(a,b+c), B(b,c+a) and C(c,a+b) are collinear.

Show by vector method that the four points (6, 2, -1), (2, -1, 3), (-1, 2, -4) and (-12, -1, -3) are coplanar.

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -CHAPTER TEST
  1. If a line makes angles 90^(@), 135^(@), 45^(@) with the X, Y and Z-axe...

    Text Solution

    |

  2. Find the direction cosines of the line segment joining the points A(7,...

    Text Solution

    |

  3. Show that the points A(2, 3, -4), B(1, -2, 3) and C(3, 8, -11) are col...

    Text Solution

    |

  4. If the x-coordinate of a point P on the join of Q(2,2,1) and R(3,8,11)...

    Text Solution

    |

  5. Find the equation of a line parallel to X - axis and passing through ...

    Text Solution

    |

  6. Find the equation of a plane that cuts the coordinate axes at (a, 0, 0...

    Text Solution

    |

  7. Find the distance of the point whose position vector is (2hat(i) + hat...

    Text Solution

    |

  8. Find the ratio in which the line segment through (2,4,5),(3,5,-4) is d...

    Text Solution

    |

  9. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

    Text Solution

    |

  10. Find the equation of the plane .Passing through the point (2,3-1) and ...

    Text Solution

    |

  11. State which of the following statements are true (T) or false(F) The...

    Text Solution

    |

  12. Find the coordinates of the point, where the line passing through (5, ...

    Text Solution

    |

  13. A plane meets the coordinate axes at A, B and C respectivély. If the c...

    Text Solution

    |

  14. Find the perpendicular distance of point (1,0,0) in from the lines (x-...

    Text Solution

    |

  15. Show that the shortest distance between the lines x+a=2y=-12z and x=y+...

    Text Solution

    |

  16. Find the equation of two planes through the origin, parallel to the li...

    Text Solution

    |

  17. If a line makes angles alpha, beta  and gamma  with the positive direc...

    Text Solution

    |

  18. Find the angle between the lines whose dcs. L, m, n are connected by t...

    Text Solution

    |

  19. Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...

    Text Solution

    |

  20. Find the equation of the plane through the points (2, 2,1)and (9, 3, 6...

    Text Solution

    |