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The centroid of a triangle is (2, 3) and...

The centroid of a triangle is (2, 3) and two of its vertices are (5, 6) and (-1, 4). The third vertex of the triangle is

A

(2, 1)

B

(2, -1)

C

(1, 2)

D

(1, -2)

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the centroid of a triangle is (1, 4) and two of its vertices are (4, -3), (-9, 7), then the area of the triangle is

    A
    `180//3` sq.unit
    B
    `183//2` sq.unit
    C
    `174//3` sq.unit
    D
    `197//2` sq.unit

  • The area of a triangle is 5 square unit. Two of its vertices are (2, 1), (3, -2) and the third vertex lies on the line y=x+3 . The third vertex can be

    A
    `(7//2, 13//2)`
    B
    `(3//2, 3//2)`
    C
    `(7//2, -13//2)`
    D
    `(3//2, -3//2)`

  • The perimeter of triangle is 14 units and two of its vertices are (-3,0), (3, 0) then the locus of the 3rd vertex is

    A
    `(x^(2))/(16)+(y^(2))/(7)=1`
    B
    `(x^(2))/(25)+(y^(2))/(16)=1`
    C
    `(x^(2))/(7)+(y^(2))/(16)=1`
    D
    `(x^(2))/(16)+(y^(2))/(25)=1`

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