Home
Class 11
MATHS
If in triangle ABC, A=(1, 10), circumcen...

If in triangle ABC, A=(1, 10), circumcentre=`(-1/3, 2/3)` and orthocentre=`(11/3,4/3)` then the co-ordinates of mid-point of side opposite to A is:

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the vertex A of the triangle ABC are (2,5), if the centroid of the triangle is at (-2, 1), then the coordinates of the mid-point of the side BC are-

If one of the vertices and the centroid of a triangle be (1, 2) and (1, 1) respectively, then find the coordinates of the mid-point of the opposite side of its given vertex.

(xx) The polar co-ordinates of the point (sqrt3,1) is

The coordinates of the vertex A of the triangle ABC are (-3,-4,-2) , if the coordinates of its centroid are (1,-2,2) , then find the coordinates of the mid -point of the side bar(BC) .

The polar co-ordinates of the point (-sqrt(3), 1) are

The coordinates of the vetex A of the triangle ABC are (2,5,-3), if centroid of the triangle is at (-2,1,3), find the coordinates of the mid points on the side BC.

The coordinates of the vertex A of the triangle ABC are (7,-4) . If the coordinates of the centroid of the triangle be (1,2) , find the coordinates of the mid - point of the side overline(BC) .

The coordinates of the vertex A of the triangle ABC are ( - 3 , -4, -2) , if the coordinates of its centroid are ( 1 , - 2 , 2) , then find the coordinates of the mid - point of the side overline(BC)

(a) Find the polar co-ordinates of a point Cartesian co-ordinates are (-1,1) .

If (4,3) , (-2,7) and (0,11) are the coordinates of the mid -points of the sides of a triangle , find the coordinates of its vertices .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

    Text Solution

    |

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

    Text Solution

    |

  3. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

    Text Solution

    |

  4. Find The orthocenter of the triangle formed by (0,0),(8,0),(4,6)

    Text Solution

    |

  5. In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0)...

    Text Solution

    |

  6. If the vertices of a triangle are (sqrt(5,)0) , (sqrt(3),sqrt(2)) , an...

    Text Solution

    |

  7. The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r p...

    Text Solution

    |

  8. If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre li...

    Text Solution

    |

  9. P and Q are points on the line joining A(-2,5) and B(3,1) such that AP...

    Text Solution

    |

  10. The point (4,1) undergoes the following three transformations successi...

    Text Solution

    |

  11. If the coordinates of the vertices of a triangle are rational numbers,...

    Text Solution

    |

  12. If P(1,2) ,Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelo...

    Text Solution

    |

  13. If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), a...

    Text Solution

    |

  14. The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,...

    Text Solution

    |

  15. The locus of the moving point whose coordinates are given by (e^t+e^(-...

    Text Solution

    |

  16. The distance between the circumcenter and the orthocenter of the trian...

    Text Solution

    |

  17. A man starts from the point P(-3, 4) and reaches point Q (0,1) touchin...

    Text Solution

    |

  18. Statement 1 : The area of the triangle formed by the points A(1000 ,...

    Text Solution

    |

  19. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

    Text Solution

    |

  20. Factorise: (l+m)^2–4lm

    Text Solution

    |