If `(p)/(q)=(r)/(s)=(t)/(u)` then `(p^(2)+r^(2)+t^(2))/(q^(2)+s^(2)+u^(2))=`

Find the value of (p^(2)+q^(2))/(r^(2)+s^(2)) , if p:q=r:s

Find the value if (p^(2)+q^(2))/(r^(2)+s^(2)) if p:q: : r:s

If p, q, r, s are in G.P, show that (p^2 + q^2 + r^2) (q^2 + r^2 + s^2) = (pq + qr + rs)^2

For all positive values of p,q,r and s ((p^(2) + p +1)(q^(2) + q+ 1)(r^(2) + r+1)(s^(2) + s + 1))/(pqrs) cannot be less than

Let A={p , q , r , s}\ a n d\ B={1,2,3}dot Which of the following relations from A to B is not function? (i) R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)} (ii) R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)} (iii) R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)} (iv) R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}

If p, q, r, s are in G.P. then show that (q -r )^(2) + ( r -p) ^(2) + ( s-q) ^(2) = ( p -s) ^(2)

If (p ^(2) + q ^(2)) // (r ^(2) + s ^(2)) = (pq) //(rs), then what is the value of (p-q)/(p+q) in terms of r and s ?