Question

11) Centroid of triangle with vertices (0,0),(3,0) & (0,-3) is
a) (1,1)
b) (1,-1)
c) (-1,1) d) (0,0)​

Answer 1

Answer:

Let P(x

1

,y

1

),Q(x

2

,y

2

) and R(x

3

,y

3

) be coordinates of triangle

Now the centroid of triangle is,

(

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)

By using the formula of centroid of triangle,

(0,0,0) = [(a−2+4)/3,(1+b+7)/3,(3−5+c)/3]

(0,0,0) = [(a+2)/3,(b+8)/3,(c−2)/3]

on solving, we get

a = −2; b = −8; c = 2

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