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If the centroid of the triangle whose ve...

If the centroid of the triangle whose vertices are (2, 4), (3, k) and (4, 2) is (k, 3) then k =

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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Find the centroid of the triangle whose vertices are (5,4,6),(1,-1,3) and (4, 3, 2).

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Knowledge Check

  • The centroid of the triangle whose vertices are (2 , - 3) , ( 4 , 6) , (- 2 , 8) is

    A
    `((8)/(3),(17)/(3))`
    B
    (4, 11)
    C
    `(- 3 , - 8)`
    D
    `((4)/(3),(11)/(3))`

  • If (2,k,-1) is the centroid of the triangle with vertices (2,-1,2) (1,-3,-4) and (3,k,-1), then k=

    A
    `4/3`
    B
    12
    C
    -4
    D
    -2

  • Equation of the locus of the centroid of the triangle whose vertices are (a cos k, a sin k),(b sin k, -b cos k) and (1,0) , where k is a perameter, is

    A
    `(1-3x)^2+9y^2=a^2+b^2`
    B
    `(3x-1)^2+9y^2=2a^2+b^2`
    C
    `(3x+1)^2+(3y)^2=a^2+b^2`.
    D
    `(3x+1)^2+(3y)^2=3a^2 3b^2`.

    • Similar Questions

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    Find the centroid of the triangle whose vertices are ( - 4 , 6) , ( 2 , - 2) and ( 2 , 5) respectively . (AS_(1))

    Find the centroid of triangle ABC whose vertices are A(-5,6) B(4,1)C(1,2).

    Find the centroid triangle whose ver-tices are ( 3 , 4) ( - 7 , - 2) and ( 10 , - 5) .

    Find the centroid of the triangle whose vertices are ( 3 , - 5) , ( - 7 , 4) , ( 10 , - 2) respectively . (AS_(1))

    Equation of the locus of the centroid of the triangle whose vertices are (acos k, a sin k),(b sin k, -b cos k) and (1,0) where k is a p arameter is

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