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Question

If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is


A

(4,8)

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B

(8,4)

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C

(6,4)

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D

(0,0)

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Solution

The correct option is A

(4,8)


Given:
Centroid = (4,6)
Vertices (6,4) & (2,6)

Let the Co-ordinates of C be (x3, y3)
x1=6, x2=32, y1=4 & y2=6

Centroid (4,6)=(x1+x2+x33,y1+y2+y33)

4=6+2+x33 and 6=4+6+y33
x3=4 and y3=8

Third vertex is (4,8).


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