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Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2 . Then,...

Let `f(x)=(x-a)^2+(x-b)^2+(x-c)^2` . Then, `f(x)` has a minimum at `x=` `(a+b+c)/3` (b) `3sqrt(a b c)` (c) `3/(1/a+1/b+1/c)` (d) none of these

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. The minimum value of f(x)=x^4-x^2-2x+6 is (a) 6 (b) 4 (c) 8 (d) none o...

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  2. The number which exceeds its square by the greatest possible quanti...

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  3. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2 . Then, f(x) has a minimum at x= (a+...

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  4. The sum of two non-zero numbers is 8, the minimum value of the sum ...

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  5. The function f(x)=sum(r=1)^5(x-r)^2 assuming minimum value at x= ...

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  6. At x=(5pi)/6,\ \ f(x)=2sin3x+3cos3x is (a) 0 (b) maximum (c) minimum (...

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  7. If x lies in the interval [0,\ 1] , then the least value of x^2+x+1...

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  8. The least value of the function f(x)=x^3-18 x^2+96 x in the interval [...

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  9. The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a)1/4 (b) -1/3 (c)...

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  10. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

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  11. If x+y=8 , then the maximum value of x y is (a) 8 (b) 16 (c) 20 (d)...

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  12. The least and greatest values of f(x)=x^3-6x^2+9x in [0,\ 6] , are ...

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  13. f(x)=sin+sqrt(3)cosx is maximum when x= pi/3 (b) pi/4 (c) pi/6 (d) 0

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  14. If a cone of maximum volume is inscribed in a given sphere, then th...

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  15. The minimum value of (x^2+(250)/x) is (a) 75 (b) 50 (c) 25 (d) 55

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  16. If f(x)=x+1/x ,\ \ x >0 , then its greatest value is -2 (b) 0 (c) 3...

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  17. If f(x)=1/(4x^2+2x+1) , then its maximum value is 4/3 (b) 2/3 (c) 1...

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  18. Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of...

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  19. f(x)=1+2sinx+3cos^2x ,\ 0lt=xlt=(2pi)/3 is (a)Minimum at x=pi//2 (b) M...

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  20. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at x= (a) 3 (b) 0 (c)...

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