Home
Class 11
MATHS
Show that the following points are colli...

Show that the following points are collinear :
(i) (0,7,-7), (1,4,-5), (-1, 10,-9)
(ii) (3,-5,1), (-1,0,8), (7,-10,-6)
(iii) (-2,3,5),(7,0,-1),(1,2,3)

Text Solution

Verified by Experts

N/a
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 12 C|19 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 12.1|4 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 12 A|5 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|30 Videos

Similar Questions

Explore conceptually related problems

Show that the following points are collinear : A(1,2,7), B(2,6,3), C(3, 10,-1)

Show that the following points are collinear : (1,2,7) : (2,6,3) : (3,10,-1).

Show that the following points are collinear: (i) A(2, -2), B(-3, 8) and C(-1, 4) (ii) A(-5, 1), B(5, 5) and C(10, 7) (iii) A(5, 1), B(1, -1) and C(11, 4) (iv) A(8, 1), B(3, -4) and C(2, -5)

Using determinants show that the following points are collinear: (i) (5, 5), (-5, 1) and (10, 7) (ii) (1, -1), (2, 1) and (4, 5)

Using distance formula prove that the following points are collinear: P(0,7,-7),Q(1,4,-5) and R(-1,10,-9)

Using the distance formula, show that the given points are collinear. (i) (1, -1), (5, 2) and (9, 5) (ii) (6, 9), (0, 1) and (-6, -7) (iii) (-1, -1), (2, 3) and (8, 11) (iv) (-2, 5), (0, 1) and (2, -3).

Using section formula show that the points are collinear: (-2,3,5),(1,2,3),(7,0,-1)

Using distance formula prove that the following points are collinear: A(3,-5,1),B(-1,0,8) and C(7,-10,-6)

Show that the points (-1,7) (3,-5) (4,-8) are collinear.

Using vector method, show that the given points A,B,C are collinear: (i) A(3,-5,1),(-1,0,8) and C(7,-10,-6) (ii) A(6,-7,-1),B(2,-3,1) and C(4,-5,0).

NAGEEN PRAKASHAN-INTRODUCTION OF THREE DIMENSIONAL GEOMETRY-Exercise 12 B
  1. Find the distance between the following pairs of points : (i) (-2, 1...

    Text Solution

    |

  2. Show that the following points are collinear : (i) (0,7,-7), (1,4,-5...

    Text Solution

    |

  3. Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices o...

    Text Solution

    |

  4. Show that the points (-4,-4,-1),(0,2,3) and (4,6,-3) are the vertices ...

    Text Solution

    |

  5. Show that the points (-2,4,1),(-1,5,5),(2,2,5) and (1,1,1) are the ver...

    Text Solution

    |

  6. Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3...

    Text Solution

    |

  7. Show that the points A(1,3,4),\ B(-1,6, 10),\ C(-7,4,7)a n d\ D(-5,1,1...

    Text Solution

    |

  8. Show that the points A(3,3,3,),\ B(0,6,3),\ C(1,7,7)a n d\ D(4,4,7) ar...

    Text Solution

    |

  9. Show that the points A(1,2,3),\ B(-1,-2,-1),\ C(2,3,2)a n d\ D(4,7,6) ...

    Text Solution

    |

  10. Show that the points (2,-1,3), (0,1,2) and (1,-3,1) are the vertices o...

    Text Solution

    |

  11. Determine the points in i. xy-plan e ii. yz-plane and iii zx-plane ...

    Text Solution

    |

  12. Find a point on Z-axis which is equidistant from the points (1,5,7) an...

    Text Solution

    |

  13. Find the points on z-axis which are at a distance sqrt21 from the po...

    Text Solution

    |

  14. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

    Text Solution

    |

  15. If A(3,4,1) and B(-1,2,3) are two points, then find the locus of a mov...

    Text Solution

    |

  16. Find the point which equisdistant from points O(0,0,0),A(a,0,0)B (0,b,...

    Text Solution

    |

  17. Find the locus of a point whiich moves in such a way that the sum of i...

    Text Solution

    |

  18. A moving point 'P' moves such that AP^(2)+BP^(2)=10 where the co-ordin...

    Text Solution

    |