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Which of the following is true?...

Which of the following is true?

A

`f(x )` is decreasing in `(-1,1)` and has a local maximum at `x=1`

B

`f(x )` is increasing in (-1,1) and has a local maximum at x=1

C

`f(x )`is increasing in `(-1,1)` but has neither a local maximum nor a local minimum at `x =1`

D

`f(x )` is decreasing in `(-1,1)` but has neither a local maximum nor a local minimum at `x =1`

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A DAS GUPTA-Some New Pattern Problems-Exercise
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  2. Which of the following is true?

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  3. Which of the following is true?

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  4. Consider the function f : (-oo , oo) to (-oo , oo) defined by f(x) = (...

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  5. Consider the line L1=(x+1)/3=(y+2)/1=(z+1)/2 L2=(x-2)/1=(y+2)/2=(z-3...

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  6. Consider the line L1=(x+1)/3=(y+2)/1=(z+1)/2 L2=(x-2)/1=(y+2)/2=(z-3...

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  7. cosider the lines, L1=(x+1)/3=(y+2)/1=(z+2)/2 L2=(x-2)/1=(y+2)/2=(z-...

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  8. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  9. The area of the region bounded by the curve y= f( x ), x-axis, and the...

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  10. int(-1)^1 g'(x) dx=

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  11. The equation of the circle C with center at (sqrt3,1) is

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  12. The number of 2 x 2 matrices A such that all entries are either 1 or 0...

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  13. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  14. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  15. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  16. A fair die is tossed repeated until a six is obtained. Let X denote th...

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  17. A fair die is tossed repeatedly until a six obtained. Let X denote the...

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  18. Equation of the common tangent to the circle x^(2)+y^(2)=50 and the pa...

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  19. If the events A and B are mutually exclusive events such that P(A) = (...

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  20. Let s be the sum of all distinct real roots of f(x) and let t=mod(s)Th...

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