Home
Class 12
MATHS
lf origin is centroid of triangle with v...

lf origin is centroid of triangle with vertices (a, 1 , 3), (- 2, b, -5) and (4, 7, c), then (a, b, c) `equiv`

A

(2, 2,8)

B

(- 2,8,2)

C

(- 2,-8,- 2)

D

(-2, -8,2)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MARVEL PUBLICATION|Exercise PREVIOUS YEARS MHT-CET EXAM QUESTIONS|10 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If origin is the centroid of the triangle with vertices P(3a, 3, 6), Q (-4, 2b, -8) and R(8, 12, 2c), then the value of a, b, and c are

If (1, 1, 1) is the centroid of the triangle with vertices (2a, 3, 7), (-4, 3b, -8) and (8, 4, 6c), find a, b, c.

If the origin is the centroid of a triangle ABC having vertices A(a ,1,3), B(-2, b ,-5)a n d C(4,7, c) , find the values of a , b , cdot

If the centroid of a triangle with vertices (alpha, 1, 3), (-2, beta, -5) and (4, 7, gamma) is the origin then alpha beta gamma is equal to …..........

The centroid of a triangle, whose vertices are (2, 1), (5, 2) and (3, 4) is

The centroid of the triangle with vertices A(2, -3, 3), B(5, -3, -4) and C (2, -3, -2) is the point

13.If the origin is the centroid of the triangle PQR with vertices P(2a,2,6) , Q(-4,3b,-10) and R(8,14,2c) then find the values of a,b and c.

If the origin is the centroid of the triangle with vertices P(2a,2,6),Q(-4,3b,-10) abnd R(8,14,2c) ,find the values of a and b .

Find the Centroid of the triangle with vertices A(3,-7),B(5,1) and C(-1,-5)

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. lf origin is centroid of triangle with vertices (a, 1 , 3), (- 2, b, -...

    Text Solution

    |

  2. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

    Text Solution

    |

  3. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  4. If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...

    Text Solution

    |

  5. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  6. If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=

    Text Solution

    |

  7. If bara.i = 4, then bara.[j xx (2j - 3k)]=

    Text Solution

    |

  8. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  9. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

    Text Solution

    |

  10. If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([bar...

    Text Solution

    |

  11. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  12. If the volumes of parallelepiped with coterminus edges -pj+5k,i-j+qk a...

    Text Solution

    |

  13. A line makes 45^(@) with OX, and equal angles with OY and OZ. Then the...

    Text Solution

    |

  14. If the points with position vectors -i + 3j + 2k , -4i + 2j - 2k and 5...

    Text Solution

    |

  15. If bara.barb=barb.barc=barc.bara=0 and bara,barb,barc form a right-han...

    Text Solution

    |

  16. If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/...

    Text Solution

    |

  17. i · (j xx k) + j · (k xx i) + k · (i xx j ) =

    Text Solution

    |

  18. If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k, then (baraxxbarb).(barax...

    Text Solution

    |

  19. If vectors 2hati-hatj+hatk ,hati+2hatj-3hatk and 3hati+mhatj+5hatk are...

    Text Solution

    |

  20. 2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

    Text Solution

    |

  21. If vectors bara,barb,barc are non-coplaner, then ([bara+2barb barb+2...

    Text Solution

    |