Home
Class 12
MATHS
If the points A(overline(a)), B(overline...

If the points `A(overline(a)), B(overline(b)), C(overline(c))` are collinear and `3overline(a)+2overline(b)-5overline(c)=overline(0)`, then

A

Three points forms triangles ABC

B

C is the mid-point of seq. AB

C

C divides AB internally in ratio 2:3

D

C divides AB externally in ratio 3:2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If the points A(overline(a)), B(overline(b)), C(overline(c)) are collinear and 2overline(a)+3overline(b)-5overline(c)=overline(0) , then

If four points A(overline(a)), B(overline(b)), C(overline(c)) and D(overline(d)) are coplanar, then [[overline(a), overline(b), overline(d)]]+[[overline(b), overline(c), overline(d)]]+[[overline(c), overline(a), overline(d)]]=

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

overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

If overline(a), overline(b), overline(c) are linearly independent, the ([[2overline(a)+overline(b), 2overline(b)+overline(c), 2overline(c)+overline(a)]])/([[overline(a), overline(b), overline(c)]])=

If overline(a), overline(b) and overline(c) are non-coplanar and (overline(a)+2overline(b)-overline(c))*((overline(a)-overline(b))times(overline(a)+overline(b)-overline(c)))=lambda[[overline(a), overline(b), overline(c)]] then lambda=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a), overline(b), overline(c) are position vectors of point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If A(2, -2, 3), B(x, 4, -1), C(3, x, -5) are the vertices and G(2, 1, ...

    Text Solution

    |

  19. If A(1, 4, 2), B(-2, 3, -5) are two vertices A and B and G((4)/(3), 0,...

    Text Solution

    |

  20. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

    Text Solution

    |