Home
Class 12
MATHS
In a triangle A B C ,Da n dE are points ...

In a triangle `A B C ,Da n dE` are points on `B Ca n dA C ,` respectivley, such that `B D=2D Ca n dA E=3E Cdot` Let `P` be the point of intersection of `A Da n dB Edot` Find `B P//P E` using the vector method.

Text Solution

Verified by Experts

The correct Answer is:
`8/3`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

In Figure, A B=C D . Prove that B E=D E\ a n d\ A E=C E , where E is the point of intersecting of A D\ a n d\ B C .

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B

In Figure, A B C is a triangle in which A B=A Cdot Point D and E are points on the sides AB and AC respectively such that A D=A Edot Show that the points B , C , E and D are concyclic.

A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the mid-points of A Ba n dA C respectively, prove that the points B ,C ,Da n dE are concylic.

In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa n dA B , respectively, such that (B D)/(D C)=(C E)/(E A)=(A F)/(F B)=ndot Prove that triangle D E F=(n^2-n+1)/((n+1)^2) triangle(A B C)dot

A B C is an isosceles triangle in which A B=A C . If D\ a n d\ E are the mid-points of A B\ a n d\ A C respectively, Prove that the points B ,\ C ,\ D\ a n d\ E are concyclic.

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P to B C intersects F E\ at Q . Prove that A Q=Q P .

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  4. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  7. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  8. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  9. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  10. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  15. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  16. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |

  17. If vectors, vecb, vecc and vecd are not coplanar, the prove that vecto...

    Text Solution

    |

  18. If c is a given non - zero scalar, and vecA and vecB are given non- ze...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. Two triangles ABC and PQR are such that the perpendiculars from A to Q...

    Text Solution

    |