Question

if the cenroid of the triangle formed by(p,q),(p,1) and(1,p)is the original,then p cube +q cube -3pq=
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

centroid (0,0)

(p+p+1)/3 =0

2p+1=0

2p = -1

p= -1/2

(q+1+p)/3 = 0

p+q+1 = 0

q-1/2+1 = 0

q+1/2 = 0

q = -1/2

p³ +q³-3pq = (-1/2)³+(-1/2)³-3(-1/2)(-1/2)

= -1/8 -1/8 -3/4

= -2/8 -3/4

= -1/4 - 3/4

= -4/4

= -1

Step-by-step explanation: