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:

A

`(1,-11/3)`

B

(1,5)

C

(1,-3)

D

(1, 6)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 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 .

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between...

    Text Solution

    |

  2. The limiting position of the point of intersection of the straight lin...

    Text Solution

    |

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

    Text Solution

    |

  4. The points (p+1,1), (2p+1,3) and (2p+2, 2p) are collinear, if

    Text Solution

    |

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

    Text Solution

    |

  6. If one vertex of an equilateral triangle of side a, lies at the origin...

    Text Solution

    |

  7. Consider the straight lines x+2y+4=0 and 4x+2y-1=0. The line 6x+6y+7=0...

    Text Solution

    |

  8. If 6a^2-3b^2-c^2+7ab-ac+4bc=0, then the family of lines ax+by+c=0 is c...

    Text Solution

    |

  9. The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

    Text Solution

    |

  10. If the point P(x,y) be equidistant from the points A(a+b,a-b) and B(a-...

    Text Solution

    |

  11. If the lines ax+by+c=0, bx+cy+a=0 and Cx+ay+b=0 are concurrent (a+b+cn...

    Text Solution

    |

  12. Type of quadrilateral formed by the two pairs of lines 6x^2-5xy-6Y^2=0...

    Text Solution

    |

  13. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

    Text Solution

    |

  14. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  15. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  16. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  17. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  18. Match List - I with List-II

    Text Solution

    |

  19. Match the List I with List II and select the correct option.

    Text Solution

    |

  20. If the lines ax+by+c=0, bx+cy+a=0 and Cx+ay+b=0 are concurrent (a+b+cn...

    Text Solution

    |