Home
Class 12
MATHS
If overline(a), overline(b), overline(c)...

If `overline(a), overline(b), overline(c)` are position vectors of points A, B, C respectively such that `3overline(a)+5overline(b)=8overline(c)`, then C divides AB,

A

externally in the ratio 3:5

B

internally in the ratio 3:5

C

externally in the ratio 5:3

D

internally in the ratio 5:3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If overline(a), overline(b), overline(c) are position vectors of points A, B, C respectively such that 3overline(a)+5overline(b)=8overline(c) then A divides BC

If overline(a), overline(b), overline(c) are position vectors of points A, B, C respectively such that 5overline(a)-3overline(b)-2overline(c)=0 , then

If overline(a), overline(b) and overline(c) are unit vectors perpendicular to each other, the [[overline(a), overline(b), overline(c)]]^(2)=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

If overline(a) and overline(b) are the position vectors of the points (1, -1), (-2, m) and overline(a), overline(b) are collinear, then m=

If the position vectors of points A, B, C and overline(a), overline(b), overline(c)" are "overline(c)=5overline(a)-4overline(b) , then

If overline(a), overline(b), overline(c) are non-coplanar vectors and the points with position vectors 2overline(a)+2overline(b), overline(a)+lambdaoverline(b)+overline(c) and 4overline(a)+4overline(b)-5overline(c) are coplanar, then lambda=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If the position vectors of points A, B, C and overline(a), overline(b)...

    Text Solution

    |

  2. If the points A(overline(a)), B(overline(b)), C(overline(c)) are colli...

    Text Solution

    |

  3. If overline(a), overline(b), overline(c) are position vectors of point...

    Text Solution

    |

  4. If overline(a), overline(b), overline(c) are position vectors of point...

    Text Solution

    |

  5. If overline(a), overline(b), overline(c) are position vectors of point...

    Text Solution

    |

  6. If the points A(overline(a)), B(overline(b)), C(overline(c)) are colli...

    Text Solution

    |

  7. Find the position vector of the point which divides the join of the po...

    Text Solution

    |

  8. If the points A(3, 0, p),B(-1, q, 3), C(-3, 3, 0) are collinear, then

    Text Solution

    |

  9. If the points A(2, p, 1),B(1, 2, q), C(3, 2, 1) are collinear, then

    Text Solution

    |

  10. If the points A(2, p, 1),B(1, 2, q), C(3, 2, 1) are collinear, then

    Text Solution

    |

  11. If the points A(3, 2, p), B(q, 8, -10), C(-2, -3, 1) are collinear, th...

    Text Solution

    |

  12. If the points A(3, 2, p), B(q, 8, -10), C(-2, -3, 1) are collinear, th...

    Text Solution

    |

  13. In triangleABC, D divides BC in the ratio l:m, G divides AD in the rat...

    Text Solution

    |

  14. In triangleABC, D divides BC in the ratio l:m, G divides AD in the rat...

    Text Solution

    |

  15. The positon vectors of points P, Q, R are given by overline(p)=overlin...

    Text Solution

    |

  16. In triangleABC, if the points P, Q, R divides the sides BC, CA, AB in ...

    Text Solution

    |

  17. If the origin is the centroid of the triangle whose vertices are A (2,...

    Text Solution

    |

  18. If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...

    Text Solution

    |

  19. If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...

    Text Solution

    |

  20. If G(-1, 2, 1) is the centroid triangle ABC whose two vertices are A(3...

    Text Solution

    |