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" Which is is the points "(p,q),(m,n)" and "(p-m,q-n)" are collinear,show that pn"

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If the points (p,q),(m,n) and (p-m,q-n) are collinear,show that pn=qm.

If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear, show that p n=q m .

If A (p , q) , B (m , n) and C ( p - m , q - n ) are collinear then pn = ......

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)" m ,n,p and q are integer such that n ,q"!="0 and qm = pn"} . Then

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . then,

Consider the following relations : R={(x,y)|x,y are real numbers and x= wy for some rational number w} : S={((m)/(n),(p)/(q))} , m, n, p and q are integers such that n, q ne 0 " and "qm = pn }. Then :

If the sum of the series sum_(m=1)^(oo)sum_(n-1)^(oo)(m^(2)n)/(3^(m)(n.3^(m)+m.3^(n))) can be expressed as (p)/(q) where p and q are co-prime number, then (q-3p) is equal to