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Q.

If the centroid of the triangle formed by ( p,q),( q,1) and (1,p) is the origin, then p3+q3−3pq=

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a

2

b

1

c

−2

d

−1

answer is B.

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Detailed Solution

(p+q+13,p+1+q3)=(0,0)

p+q=(−1)

(p+q)3=(−1)3

p3+q3−3pq=(−1)

(a+b)3=a3+b3+3ab(a+b)−1=a3+b3−3ab

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