Home
Class 12
MATHS
P, Q, R, S have position vectors bar(p),...

P, Q, R, S have position vectors `bar(p), bar(q), bar(r), bar(s)` respectively such that `(bar(p)-bar(q))=2(bar(s)-bar(r))`, then QS and PR

A

PQ and RS bisect each other

B

PQ and PR bisect each other

C

PQ and RS trisect each other

D

QS and PR trisect each other

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|10 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|4 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

The position vectors A, B are bar(a), bar(b) respectively. The position vector of C is (5bar(a))/3-bar(b) . Then

For three vectors bar(p), bar(q) and bar(r)" if "bar(r)=3bar(p)+4bar(q) and 2bar(r)=bar(p)-3bar(q) then

Let A, B, C, D be four points with position vectors bar(a)+2bar(b), 2bar(a)-bar(b), bar(a) and 3bar(a)+bar(b) respectively. Express the vectors bar(AC), bar(DA), bar(BA) and bar(BC) interms of bar(a) and bar(b) .

P, Q, R and S are four points with the position vectors 3bar(i)-4bar(j)+5bar(k), 4bar(k), -4bar(i)+5bar(j)+bar(k) and -3bar(i)+4bar(j)+3bar(k) respectively. Then the line PQ meets the line RS at the point.

If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q) then

If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0 , then show that bar(a) + bar(c ) = bar(p)bar(b) , where p is some scalar.

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are bar(a), bar(b), bar(c) and (bar(a)+bar(b)+bar(c))/4 respectively, then the position vector of the orthocentre of this triangle is

The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is bar(a)/2+bar(b)/3 then 'C' lies

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The position vector of a point lying on the line joining the points wh...

    Text Solution

    |

  2. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

    Text Solution

    |

  3. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

    Text Solution

    |

  4. The position vector of the centroid of the triangle formed by the poin...

    Text Solution

    |

  5. The position vector of the centroid of the triangle formed by the poin...

    Text Solution

    |

  6. If C is the midpoint of AB and P is any point outside AB, then

    Text Solution

    |

  7. If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...

    Text Solution

    |

  8. If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =

    Text Solution

    |

  9. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

    Text Solution

    |

  10. If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)...

    Text Solution

    |

  11. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

    Text Solution

    |

  12. If D, E are the midpoints of AB, AC of Delta ABC and vec(D)E = lambda ...

    Text Solution

    |

  13. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

    Text Solution

    |

  14. If S is the circumcentre, G the centroid, O the orthocentre of Delta A...

    Text Solution

    |

  15. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

    Text Solution

    |

  16. If A = (3, 2, 5), B = (3, 3, 5) and C = (3, 4, 8) are the vertices of ...

    Text Solution

    |

  17. If 4i + 7j + 8k, 2i + 3j + 4k, 2i + 5j + 7k are position vectors of A,...

    Text Solution

    |

  18. P, Q, R are the midpoints of the sides AB, BC and CA of the triangle A...

    Text Solution

    |

  19. If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...

    Text Solution

    |

  20. If a, b, c are position vectors of three vertices of an equilateral tr...

    Text Solution

    |