It is a KVPY question Let a1,a2,a3,a4 be real number such that a1+a2+a3+a4=0 and a1^2+a2^2+a3^2+a4^2=1 then the smallest possible value of the expression (a1-a2)^2+(a2-a3)^2+(a3-a4)^2+(a4-a1)^2 lies in which interval. Not sure about the chapter..
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Q4
If a1,a2,a3,a4,a5>0 then a1a2+a3+a2a3+a4+a3a4+a5+a4a5+a1+a5a1+a2≥52
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Q5
Let a is a real number satisfying a3+1a3=2. Find the value of a4+1a4