The point (p,q),(m,n)and (p-m,q-n are collinear then prove that pn=qm
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As points (p,q),(m,n),(p-m,q-n) are collinear
0 = x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)
0 = p(n-q+n) + m(q-n-q) + (p-m)(q-n)
0 = 2pn-pq+-mn+pq-pn-mq+mn
0 =pn-qm
pn = qm
HENCE PROVED
:) Hope this helps!!!!!!!
0 = x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)
0 = p(n-q+n) + m(q-n-q) + (p-m)(q-n)
0 = 2pn-pq+-mn+pq-pn-mq+mn
0 =pn-qm
pn = qm
HENCE PROVED
:) Hope this helps!!!!!!!
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