Home
Class 14
MATHS
If the vertex of a triangle is (1 , 1) a...

If the vertex of a triangle is (1 , 1) and the midpoints of two sides of the triangle through 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)/(3) , (7)/(3))`

D

`(1 , 7/3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos

  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

Similar Questions

Explore conceptually related problems

21.If a vertex of a triangle is (1,1) and the midpoints of two sides of the triangle through this vertex are (-1,2) and (3,2), then the centroid of the triangle is

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

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 and the incenter of the triangle.

Find the third vertex of the triangle whose two vertices are (-3, 1) and (0, -2) and the centroid is the origin.

A triangle has vertex at (1,2) and the midpoints of the two sides through it are (-1,1) and (2,3). Then the centroid of this triangle is (1/3,1) (1/3,2) (1,7/3) (1/3,5/3)

A triangle having a vertex as (1,2) has mid- point of sides passig from this vertex as (-1,1) and (2,3) thent he centroid of the triangle is

PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
  1. The distance of the point (1 , 3) from the line 2x + 3y = 6 measured p...

    Text Solution

    |

  2. What is the point of intersection of the lines 2x + 3y = 5 and 3x - 4y...

    Text Solution

    |

  3. If the vertex of a triangle is (1 , 1) and the midpoints of two sides ...

    Text Solution

    |

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

    Text Solution

    |

  5. What is the ratio in which the point C (- (2)/(7) - (20)/(7)) divides ...

    Text Solution

    |

  6. What is the equation of the straight line parallel to 2x + 3y + 1 = 0 ...

    Text Solution

    |

  7. What is the acute angle between the pair of straight line sqrt2x + sqr...

    Text Solution

    |

  8. If the centroid of a triangle formed by (7 , x) , (y , -6) and (9 , 10...

    Text Solution

    |

  9. Consider the lines y = 3x , y = 6x , y = 9 What is the area of the t...

    Text Solution

    |

  10. Consider the lines y = 3x , y = 6x , y = 9 The centroid of triangle ...

    Text Solution

    |

  11. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

    Text Solution

    |

  12. The vertices of a parallelogram in order are A(1, 2), B(4, y), C(x, 6)...

    Text Solution

    |

  13. The adjacent sides of a parallelogram are 6 cm and 8 cm and the angle ...

    Text Solution

    |

  14. A straight line intersects X and Y-axes at P and Q respectively . If (...

    Text Solution

    |

  15. Consider the two lines x + y + 1 = 0 and 3x + 2y + 1 = 0 What is the...

    Text Solution

    |

  16. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |

  17. Find the mid-point of the line segment joining the points (4,-6) and (...

    Text Solution

    |

  18. What will be the angle between the lines y - x - 7 and sqrt (3 ) y...

    Text Solution

    |

  19. Consider the Delta ABC with vertices A( - 2 , 3) , B (2 , 1) and C (1 ...

    Text Solution

    |

  20. Consider the Delta ABC with vertices A( - 2 , 3) , B (3 , 1) and C (1 ...

    Text Solution

    |