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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, 7/3)

B

(1/3, 7/3)

C

(-1, 7/3)

D

(-1/3, 7/3)

Text Solution

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The correct Answer is:
A
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If a vertex of a triangle is (1,1) and the mid-points of two sides through the vertex are (-1,2) and (3,2), then the centroid of the triangle is

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Knowledge Check

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

    A
    `(1, 7/3)`
    B
    `(1/3, 7/3)`
    C
    `(- 1/3, 7/3)`
    D
    `(-1, 7/3)`

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

    A
    `(5/3,3)`
    B
    `(5/3,-3)`
    C
    `(-5/3,3)`
    D
    `(-5/3,-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

    A
    `((1)/(3),2)`
    B
    `(2,(1)/(3))`
    C
    `(1,1)`
    D
    `((1)/(3),4)`1

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