Home
Class 12
MATHS
If the vertex of a triangle is (1,1) and...

If the vertex of a triangle is `(1,1)` and the mid-points of two sides therough this vertex are `(-1, 2) and(3,2)` then the centroid of the triangle is-

A

`((1)/(3), (7)/(3))`

B

`(-1, (7)/(3))`

C

`(1, (7)/(3))`

D

`(-(1)/(3), (7)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 33|1 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If the vertex of a triangle is (1,1) and the the mid - points of two sides through this vetex are (-1,2) and (3,2) , them find the coordinates of the centroid of the triangle .

If a vertex of a triangle is (1,1) , and the middle points of two sides passing through it are -2,3) and (5,2), then find the centroid of the triangle.

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

The coordinates of the mid -point of the sides of a triangle are (0,1) (1,1)and (1,0),find the coordinates of the triangle.

The equation of the hypotenuse of an isosceles right angled triangle is x+y+1=0 and the coordinates of its opposite vertex are (2,3) . Find the equations of the other two sides of the triangle.

The centroid of a triangle is (-1,-2) and coordinates of its two vertices are (4,6) and (-8-12) . Find the coordinates of its third vertex .

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)

The centroid of a triangle is (6,4) and two of its vertices are (6,1) and (2,7). The third vertex of the triangle is

The co-ordinates of the middle points of the sides of a triangle are (4, 2), (3, 2) and (2, 2) then co-ordinates of centroid are :

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 3
  1. If the equation of the base of an equilateral triangle is 2x - y=1 and...

    Text Solution

    |

  2. If a circle passes through the point (a,b) and cuts the circle x ^(2) ...

    Text Solution

    |

  3. If the vertex of a triangle is (1,1) and the mid-points of two sides t...

    Text Solution

    |

  4. The triangle formed by joining the points (3, -11, 5)-, (-1, -3, 4) an...

    Text Solution

    |

  5. The lines 5x - 12 y =5 and 10 x- 24y+3=0 are tangents to the same circ...

    Text Solution

    |

  6. Which one of the following is the reflection of the point (4,3) on the...

    Text Solution

    |

  7. The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

    Text Solution

    |

  8. The circle x ^(2) +y^(2) -8 x+4=0 touches -

    Text Solution

    |

  9. If the area of the triangle with vertices (x,0) and C(1,2,4) are the v...

    Text Solution

    |

  10. If A (-1, 4,2), B(3, -2, 0) and C(1,2,4) are the vertices of the trian...

    Text Solution

    |

  11. The radius of the circel, having centre at (2,1) whose one of the chor...

    Text Solution

    |

  12. The equation of the straight line passing through the point (4,3) and ...

    Text Solution

    |

  13. Thet equations to the sides of a triangle are x-3y=0,4x+3y=5 and 3x+y=...

    Text Solution

    |

  14. If A,B,C be any three sets then A xx (B nn C) is equal to-

    Text Solution

    |

  15. For any three sets A(1), A(2), A(3) let B(1)= A(1) , B(2) =A(2) -A(1) ...

    Text Solution

    |

  16. If A = {x: -1 le x le 2} and B= {x:0 lt x le 4} then A nnB is equal to...

    Text Solution

    |

  17. A relation R is defined from a set A ={2,3,4,5} to a set B ={6,8,10,30...

    Text Solution

    |

  18. An equilateral teiangle is inscribed in the parabola y^(2)=x whose one...

    Text Solution

    |

  19. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

    Text Solution

    |

  20. What is the length of the focal distance from the point P(x(1),y(1))on...

    Text Solution

    |