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

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

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:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

If (3, 3) is a vertex of a triangle and (- 3, 6) and (9,6) are the mid-points of the two sides through this vertex, then the centroid of the triangle is :

If a vertex of a triangle be (1,\ 1) and the middle points of the sides through it be (-2,\ 3) and (5,\ 2) , find the other vertices.

If centroid of a triangle be (1, 4) and the coordinates of its any two vertices are (4, -8) and (-9, 7), find the area of the triangle.

If the coordinates of the mid-points of the sides of a triangle are (1,\ 1),\ (2,\ -3) and (3,\ 4) , find the vertices 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 the area of the triangle formed to the area of the given 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 the area of the triangle formed to the area of the given triangle.

The mid-points of the sides of a triangle are (2,1), (-5,7), (-5, -5). Find the equations of the sides.

The coordinates of the middle points of the sides of a triangle are (4, 2), (3, 3) and (2, 2), then coordinates of centroid are

If ((3)/(2),0), ((3)/(2), 6) and (-1, 6) are mid-points of the sides of a triangle, then find Centroid of the triangle

The centroid of a triangle is (2,7) and two of its vertices are (4,8) and (-2,6), then third vertex is: