Math, asked by chkomalath, 5 months ago

if centroid of triangle formed by (p,q), (q,1), (1,p) is the origin , then p^3+q^-3pq​

Answers

Answered by akuldas19
4

Step-by-step explanation:

So, (

( \frac{2p + 1}{3} . \frac{2q + 1}{3} ) = (0.0) \\ or \:  \:  \: 2p + 1 = 0 \\ or \:  \: p =  \frac{ - 1}{2}  \\ and \:  \:  \:  \: q =  -  \frac{1}{2}  \\  \\ hence. \:  {p}^{3}  +  {q}^{3}  - 3pq \\  \:  \:  =  -  \frac{1}{8}  -  \frac{1}{8}  -  \frac{3}{4 }  =  - 1

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