1)If a1,a2,...,an are real numbers and the function f(x)=(x-a1)^2+(x-a2)^2+......+(x-an)^2 attains its minimum value for some x=p, then p isa)harmonic mean of a1,a2,....,anb)geometric mean of a1,a2,....anc)arithmetic mean of a1,a2,...and)none of these2)Maximum number of real solutions for the equation ax^n+x^2+bx+c=0 where a,b,c belongs to R and n is an even positive number isa)2b)3c)4d)infinite3)Length of the shortest interval in which function (sin x)^2-cos x,0<=x<=44/7 increases isa)22/42b)22/21c)44/3d)88/3

Dear student,

You must be knowing that

AM>GM>HM

Hence the correct option is b)

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Sagar Singh

B.Tech, IIT Delhi