Home
Class 11
MATHS
If the centroids of DeltaABC and Delta ...

If the centroids of `DeltaABC` and `Delta A'B'C' ` are respectively `G` and `G'` then `vec(A A')+vec(BB')+vec(C C')` ……………….. .

A

`vec(GG')`

B

`3vec(GG')`

C

`2vec(GG')`

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - II|10 Videos
  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART - III|17 Videos
  • SAMPLE PAPER - 01

    FULL MARKS|Exercise PART - III|16 Videos
  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

Similar Questions

Explore conceptually related problems

If the vectors vec a , vec b ,a n d vec c form the sides B C ,C Aa n dA B , respectively, of triangle A B C ,t h e n (a) vec a . vec b+ vec b . vec c+ vec c . vec a=0 (b) vec axx vec b= vec bxx vec c= vec cxx vec a (c) vec adot vec b= vec bdot vec c= vec c dot vec a (d) vec axx vec b+ vec bxx vec c+ vec cxx vec a=0

' I ' is the incentre of triangle A B C whose corresponding sides are a , b ,c , rspectively. a vec I A+b vec I B+c vec I C is always equal to a. vec0 b. (a+b+c) vec B C c. ( vec a+ vec b+ vec c) vec A C d. (a+b+c) vec A B

Let ABC be a triangle whose centroid is G, orhtocentre is H and circumcentre is the origin 'O'. If D is any point in the plane of the triangle such that no three of O, A, C and D are collinear satisfying the relation vec(AD) + vec(BD) + vec(CH ) + 3 vec(HG)= lamda vec(HD) , then what is the value of the scalar 'lamda' ?

If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec(GC)=vec(0) .

If ABC and A'B'C' are two triangles and G, Gʻ be their corresponding centroids, prove that bar(A A') +bar(BB')+bar(C C') = 3bar(GG') .

The position vectors of the vertices A ,Ba n dC of a triangle are three unit vectors vec a , vec b ,a n d vec c , respectively. A vector vec d is such that vecd dot vec a= vecd dot vec b= vec d dot vec ca n d vec d=lambda( vec b+ vec c)dot Then triangle A B C is a. acute angled b. obtuse angled c. right angled d. none of these

The position vectors of the vertices A ,Ba n dC of a triangle are three unit vectors vec a , vec b ,a n d vec c , respectively. A vector vec d is such that vecd dot vec a= vecd dot vec b= vec d dot vec ca n d vec d=lambda( vec b+ vec c)dot Then triangle A B C is a. acute angled b. obtuse angled c. right angled d. none of these

If vec(A) + vec(B) +vec(C)=0, "then" vec(A) xx vec(B) is :

FULL MARKS-SAMPLE PAPER - 2-PART - III
  1. If the centroids of DeltaABC and Delta A'B'C' are respectively G and...

    Text Solution

    |

  2. Let A={a,b,c} and R={(a,a), (b,b),(a,c)}. Write down the minimum numb...

    Text Solution

    |

  3. Solve: 2|x+1|-6 le 7 and graph the solution set in a number line.

    Text Solution

    |

  4. If the different permutantions of all letters of the word BHASKARA are...

    Text Solution

    |

  5. Find the sum up to n terms of the series : 1+(6)/(7)+(11)/(49)+(16)/(3...

    Text Solution

    |

  6. Area of the triangle formed by a line with the coordinate axes, is 36 ...

    Text Solution

    |

  7. If A^(T)=((4,5),(-1,0),(2,3)) and B=((2,-1,1),(7,5,-2)) verify that (A...

    Text Solution

    |

  8. For any vector veca prove that |veca xxhati|^(2)+|vecaxxhatj|^(2)+|vec...

    Text Solution

    |

  9. Given y=cos^(-1)((1-x^(2))/(1+x^(2))) find (dy)/(dx)

    Text Solution

    |

  10. A wound is healing in such a way that t days since Sunday the area of ...

    Text Solution

    |

  11. An integer is chosen at random from the first 50 positive integers. Wh...

    Text Solution

    |

  12. If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and ...

    Text Solution

    |

  13. If the equations x^(2)-ax+b=0 and x^(2)-ex+f=0 have one root in common...

    Text Solution

    |

  14. A straight line passes through a fixed point (6, 8). Find the locus of...

    Text Solution

    |

  15. Express the matrix A=[(1,3,5),(-6,8,3),(-4,6,5)] as the sum of a symme...

    Text Solution

    |

  16. If y=e^(tan^(-1)x), show that (1+x^(2))y''+(2x-1)y'=0

    Text Solution

    |

  17. Evaluate: int 2sin^(-1)xdx

    Text Solution

    |

  18. A factory has two machines A and B. Machine A produces 40% of items of...

    Text Solution

    |