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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 midpoints of two sides through this 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, (7)/(3))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If (1,0,3) ,(2,1,5),(-2,3,6) are the midpoints of the sides of a triangle , then the centroid of the triangle is

    A
    `(1/3,4/3,-14/3)`
    B
    `(1/3,4/3, 14/3)`
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    `(1/3, -4/3, 14/3)`
    D
    `(-1/3, 4/3 , 14/3)`

  • If (1, 0, 3), (2, 1, 5), (-2, 3, 6) are the mid-points of the sides of a tringle, then the centroid of the triangle is

    A
    `(1/3, 4/3, -14/3)`
    B
    `(1/3, 4/3, 14/3)`
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    `(1/3, -4/3, 14/3)`
    D
    `(-1/3, 4/3, 14/3)`

  • If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1 , then the orthocentre of te triangle is

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    D
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