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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

Grade:12

1 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

You must be knowing that

AM>GM>HM

Hence the correct option is b)

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

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