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```
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 is a)harmonic mean of a1,a2,....,an b)geometric mean of a1,a2,....an c)arithmetic mean of a1,a2,...an d)none of these 2)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 is a)2 b)3 c)4 d)infinite 3)Length of the shortest interval in which function (sin x)^2-cos x,0 a)22/42 b)22/21 c)44/3 d)88/3
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 is
a)harmonic mean of a1,a2,....,an
b)geometric mean of a1,a2,....an
c)arithmetic mean of a1,a2,...an
d)none of these
2)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 is
a)2   b)3   c)4    d)infinite
3)Length of the shortest interval in which function (sin x)^2-cos x,0<=x<=44/7 increases is
a)22/42   b)22/21   c)44/3    d)88/3

```
9 years ago

```							Dear student,
You must be knowing that
AM>GM>HM
Hence the correct option is b)

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
9 years ago
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