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If f(x) ={:{(2x^2+2/x^2",",0ltabsxle2),...

If f(x) =`{:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}`then

A

(a) `x=1,-1` are the points of global minima

B

(b) x=1,-1 are the points of local minima

C

(c) x=0 is the point of local minima

D

(d) `x=0` is the point of local minimum

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The correct Answer is:
B
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
  1. Find the intervals in which the following function is increasing and d...

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  2. If f is twice differentiable such that f''(x)=-f(x), f'(x)=g(x), h'(x...

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  3. If f(x) ={:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}then

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  4. Evaluate (n!)/((n - r)!) , when n = 4 , r = 3

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  5. sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to...

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  6. Evaluate (n!)/((n-r)!) , when n = 8 , r = 6

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  7. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

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  8. Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi, Then, f(x) is

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  9. Evaluate (5!)/((5 - 2)!)

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  10. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

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  11. Maximum number area of rectangle whose two points are are x=x(0),x=p...

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  12. f(x)=-1+kx+k neither touches nor intecepts the curve f(x)= Iog x, then...

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  13. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

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  14. A curve whose concavity is directly proportional to the logarithm of i...

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  15. f(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

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  16. f (x)= {{:(3+|x-k|"," , x le k),(a ^(2) -2 + ( sin (x -k))/((x-k))"," ...

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  17. Let f(x) be linear functions with the properties that f(1) le f(2), f(...

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  18. If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2...

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  19. Find the vertex and length of latus rectum of the parabola x^(2)=-4(y-...

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  20. Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

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