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The centroid of the triangle formed by (...

The centroid of the triangle formed by (2, -5), (2, 7), (4, 7) is

A

(2, -9)

B

(3, 1)

C

(4, -1)

D

`(8//3,3)`

Text Solution

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The correct Answer is:
D
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Find the nine point centre of the triangle formed by (5,-1), (-2,3)(-4,-7) whose orthocentre is the origin.

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Knowledge Check

  • The centroid of the triangle formed by (7, 4), (4, -6), (-5, 2) is

    A
    (2, 3)
    B
    (2, -3)
    C
    (2, -1)
    D
    (2, 0)
  • The orthocentre of the triangle formed by (1, 0), (2, -4), (-5, -2) is

    A
    `((11)/(13), (7)/(13))`
    B
    `((11)/(13), -(7)/(13))`
    C
    `(-(11)/(13), (7)/(13))`
    D
    `(-(11)/(13), -(7)/(13))`
  • If the centroid of the triangle formed by (a,1,3) ,(-2,b,-5) and (4,7,c) is the origin then (a,b,c) =

    A
    (2,8,2)
    B
    (2,8,-2)
    C
    (-2,-8,2)
    D
    (2,-8,2)
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    The circumradius of the triangle formed by (3, 7), (3, -2), (5, 7) is

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