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f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has m...

`f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2)` has minimum value at x = …………..

A

`root(3)(abc)`

B

`a+b+c`

C

`(a+b+c)/(3)`

D

0

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Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. f(x)=x log x has minimum value ………

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  2. f(x)=sqrt(3)cos x + sin x, x in [0, (pi)/(2)] is maximum for x = …………

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  3. f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

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  4. f(x)=(x+2)e^(-x) is increasing in ………….

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  5. The measure of the angle of intersection between y^(2)=x and x^(2)=y o...

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  6. The point where normal to y=x^(2)-2x+3 is parallel to Y-axis is ……….

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  7. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

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  8. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

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  9. The angle made by the tangent with the + ve direction of X-axis to x=e...

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  10. The equation of tangent to y=cos x at (0, 1) is ………..

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  11. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

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  12. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

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  13. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

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  14. A cone with its height equal to the diameter of the base is expanding ...

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  15. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

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  16. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

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  17. The rate of change of surface area of a sphere w.r.t. radius is ………..

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  18. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

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  19. f(x)=tan^(-1)x-x, is …………

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  20. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

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