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If (1, 2), (4, -3), (-2, 4) are midpoint...

If (1, 2), (4, -3), (-2, 4) are midpoints of the sides of a triangle, then its centroid is

A

(1, 0)

B

(1, 1)

C

(1, 2)

D

(2, 2)

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • 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)`
    C
    `(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 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)`
    C
    `(1/3, -4/3, 14/3)`
    D
    `(-1/3, 4/3 , 14/3)`

  • If (0, 1//2), (1//2, 1//2), (1//2, 0) are the midpoints of the sides of a triangle, then incentre of the triangle is

    A
    `((1)/(sqrt(2)), (1)/(sqrt(2)))`
    B
    `(1+(1)/(sqrt(2)), 1+(1)/(sqrt(2)))`
    C
    `(1-(1)/(sqrt(2)), 1-(1)/(sqrt(2)))`
    D
    `(1+(1)/(sqrt(2)),1-(1)/(sqrt(2)))`

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    A : If the midpoints of the sides of a triangle are (1, 0), (0, 1), (1, 1) then the centroid is (2//3, 1) . R : Centroid of the triangle is same as centroid of triangle formed by their midpoints.

    If (1, 2), (4, 3), (6, 4) are the midpoints of the sides bar(BC), bar(CA), bar(AB) of DeltaABC , then the equation of AB is

    If (2,1,3), (3,2,5),(1,2,4) are the mid points of the sides BC,CA,AB, of Delta ABC respectively, then the vertex A is

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