Home
Class 12
MATHS
Show that the points A(1, -2, -8), B(5, ...

Show that the points `A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7)` are collinear, and find the ratio in which B divides AC.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A|90 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise Illustration|4 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear, and find the ratio in which B divides A Cdot

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

Show that the three points A(2,3,4),\ B(-1,2,-3)a n d\ C(-4,1,-10) are collinear and find the ratio in which C divides AB.

i. Prove that the points veca - 2vecb + 3 vecc, 2 veca + 3vecb- 4 vecc and -7 vecb + 10 vecc are collinear, where veca, vec b and vecc are non-coplanar. ii. Prove that the points A(1, 2, 3), B(3,4, 7) and C(-3, -2, -5) are collinear. Find the ratio in which point C divides AB.

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

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

If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, find the ratio in which C divides AB.

If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, find the ratio in which C divides AB.

Prove that the ponts A(1,2,3),B(3,4,7),C(-3 ,-2, -5) are collinear and find the ratio in which B divides AC.

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the direction ratios and the direction cosines of the vector vecr...

    Text Solution

    |

  2. Show that the points P" "(2," "3," "5) , Q" "(1," "2," "3) and R (7," ...

    Text Solution

    |

  3. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

    Text Solution

    |

  4. Find the vector equation of a line through the point (-3, 2, -4) and i...

    Text Solution

    |

  5. Find the vector equation of a line passing through origin and is paral...

    Text Solution

    |

  6. Find the equation of line which passes through a point (-1, 2, 3) and ...

    Text Solution

    |

  7. Find the equation of line which passes through a point where line give...

    Text Solution

    |

  8. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

  9. Find the equation of the line in vector form passing through the point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |