Home
Class 12
MATHS
In Delta ABC if the orthocentre is (1,2)...

In `Delta ABC` if the orthocentre is `(1,2)` and the circumcenter is `(0,0)` then centroid of `Delta ABC` is.

A

`(1//2,2//3)`

B

`(1//3,2//3)`

C

`(2//3,1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`G-=((1xx1+2xx0)/(3),(2xx1+2xx0)/(3))-=((1)/(3),(2)/(3))`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Multiple)|13 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise (Comprehension)|10 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.6|9 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC ,if the centroid is (2,0) and the mid point of BC is (1,3) then A=

The equation to the side "BC" of " Delta ABC " is " x+5=0 " .If " (-3,2) " is the orthocentre and "(0,0)" is the circumcentre then radius of the circle is

The centroid of a triangle is (2,4) and circumcentre is (1,7), then find the orthocentre .

If A(0,2,3),B=(2,-1,5) are two vertices of Delta ABC whose orthocentre is H .Then distance between the orthocentres of Delta HAC and Delta HBC is

Altitudes of AD,BE,CF of Delta ABC are x+y=0,x-4y=0,2x-y=0 the coordinate of A are (t,-t) the locus oft he centroid of Delta ABC is

If G is the centroid of Delta ABC and AG-BC, then /_BGC is :

The center of a square ABCD is at z=0. The affix of the vertex A is z_(1) . Then, the affix of the centroid of the triangle ABC is

If in a Delta ABC, B is orthocentre and if circumcentre of Delta ABC is (2,4) and vertex A is (0,0) then co-ordinates of vertex 'C' is

If in a Delta ABC ,B is orthocentre and if circumcentre of Delta ABC is (2,4) and vertex A is (0,0) then co-ordinates of vertex C is

CENGAGE-COORDINATE SYSYEM -Exercise (Single)
  1. If the vertices of a triangle are (sqrt5,0) and (sqrt3,sqrt2), and (2,...

    Text Solution

    |

  2. Two vertices of a triangle are (4,-3) & (-2, 5). If the orthocentre o...

    Text Solution

    |

  3. In Delta ABC if the orthocentre is (1,2) and the circumcenter is (0,0)...

    Text Solution

    |

  4. A triangle A B C with vertices A(-1,0),B(-2,3/4), and C(-3,-7/6) has i...

    Text Solution

    |

  5. If a triangle A B C ,A-=(1,10), circumcenter -=(-1/3,2/3), and orthoce...

    Text Solution

    |

  6. In the DeltaABC, the coordinates of B are (0, 0), AB=2, /ABC=pi/3 and ...

    Text Solution

    |

  7. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

    Text Solution

    |

  8. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  9. Point P(p ,0),Q(q ,0),R(0, p),S(0,q) from parallelogram rhombus cyclic...

    Text Solution

    |

  10. A rectangular billiard table has vertices at P(0,0),Q(0,7),R(10 ,7), a...

    Text Solution

    |

  11. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

    Text Solution

    |

  12. If one side of a rhombus has endpoints (4, 5) and (1, 1), then the ...

    Text Solution

    |

  13. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

    Text Solution

    |

  14. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  15. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  16. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  17. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  18. Let a,b,c be in A.P and x,y,z be in G.P.. Then the points (a,x),(b,y) ...

    Text Solution

    |

  19. if Sigma(i=1)^(4)(x(i)^(2)+y(i)^(2))le 2x1x3+2x2x4+2y2y3+2y1y4, the po...

    Text Solution

    |

  20. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |