With usual notations, the properties of maxima and minima under various conditions are __________.

I

II

(P)

Maxima

(i)

r t− s= 0

(Q)

Minima

(ii)

rt − s2 < 0

(R)

Saddle Point

(iii)

rt − s2 > 0, r > 0

(S)

 Case of failure

(iv)

rt − s2 > 0, r < 0

1
(P) - (i), (Q) - (iii), (R) - (iv), (S) - (ii) 
2
(P) - (ii), (Q) - (i), (R) - (iii), (S) - (iv) 
3
(P) - (iii), (Q) - (iv), (R) - (ii), (S) - (i) 
4
(P) - (iv), (Q) - (iii), (R) - (ii), (S) - (i)

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