Home
Class 12
MATHS
If ABCDEF is regular hexagon, then AD+EB...

If ABCDEF is regular hexagon, then `AD+EB+FC` is equal to

A

0

B

2AB

C

3AB

D

4AB

Text Solution

Verified by Experts

The correct Answer is:
D
ABCDEF is a regular hexogen. We know from the hexagon that AD is parallel to BC
`implies AD=2BC`
Similarly, EB is parallel to FA
`implies EB = 2FA`
and FC is parallel to AB
`impliesFC =2AB`
Thus, `AD+EB +FC =2BC+2FA+2AB`
`=2(FA+AB+BC)`
`=2(FC=2(2AB)=4AB)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise ( MHT CET Corner)|66 Videos

  • VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise ( MHT CET Corner)|66 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|20 Videos

Similar Questions

Explore conceptually related problems

If ABCDEF is a regular hexagon, then Delta ACE is

If ABCDEF is a regular hexagon, then what is the value (in degrees) of angleADB ?

If ABCDEF is a regular hexagon,them vec AD+vec EB+vec FC equals 2vec AB b.vec 0 c.3vec AB d.4vec AB

If ABCDEF is a regular hexagon , then A vec D + E vec B + F vec C equals

If ABCDEF is a regular hexagon, then bar(AC) + bar(AD) + bar(EA) + bar(FA) =

If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + bar(AF) =

If ABCDEF is a regular hexagon, prove that AD+EB+FC=4AB .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -(VECTORS ) Exercise 2 ( Topical problems )
  1. Let a, b and c be three non-zero vectors which are pairwise non-collin...

    Text Solution

    |

  2. Let a=hatj-hatk and c=hati-hatj-hatk, the vector b satisfying axxb+c=v...

    Text Solution

    |

  3. If the vectors a=hati-hatj+2hatk, b=2hati+4hatj+hatk and c=lambdahati+...

    Text Solution

    |

  4. Let a=hati+hatj+hatk, b=hati-hatj+2hatk and c=x hati+(x-2) hatj-hatk. ...

    Text Solution

    |

  5. The value of a, for which the points A, B and C with position vectors ...

    Text Solution

    |

  6. For any vector a, then the value of (axxhati)^(2)+(a xxhatj)^(2)+(a...

    Text Solution

    |

  7. If a=hati-hatk, b=xhati+hatj=(1-x)hatk and c=yhati+xhatj+(1+x-y)hatk. ...

    Text Solution

    |

  8. Let a, b and c be distinct non-negative numbers. If the vectors ahati+...

    Text Solution

    |

  9. If a, b, c are non-coplanar vectors and lambda is a real number, then ...

    Text Solution

    |

  10. Let a, b and c be three non-zero vectors such that no two of these are...

    Text Solution

    |

  11. A particle is acted upon by constant forces 4hati+hatj-3hatk and 3hati...

    Text Solution

    |

  12. Let u, v and w be such that |u|=1, |v|=2, |w|=3 If the projection ...

    Text Solution

    |

  13. The value of [(a-b)(b-c)(c-a)] is equal to

    Text Solution

    |

  14. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

    Text Solution

    |

  15. If a, b and c are three non-zero vectors such that each one of them be...

    Text Solution

    |

  16. Let a=hat(i)+hat(j)+hat(k), b=hat(i)-hat(j)+hat(k) and c=hat(i)-hat(j)...

    Text Solution

    |

  17. If r a=r. b=r. c=1 where a, b, c are any three non-coplanar vectors, t...

    Text Solution

    |

  18. If |a|=3 and -1 le k le 2, then |k a|lies in the interval

    Text Solution

    |

  19. If ABCDEF is regular hexagon, then AD+EB+FC is equal to

    Text Solution

    |

  20. If a=hat(i)+hat(j)+hat(k), b=hat(i)+3hat(j)+5hat(k) and c=7hat(i)+9hat...

    Text Solution

    |