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The least natural number a for which x+a...

The least natural number a for which `x+ax^(-2)gt2AAx in(0,oo)` is

A

1

B

2

C

5

D

4

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The correct Answer is:
B
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AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The least and the greatest values of f(x)=x^(2)logx in [1,e] are

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  2. Let f.g.h be real valued functions defined on the interval [0,1] by f...

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  3. The least natural number a for which x+ax^(-2)gt2AAx in(0,oo) is

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  4. If the sum of two + ve numbers is 18 then maximum value of their prod...

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  5. The sum of two numbers is 6. The minimum of the of their reciprocals ...

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  6. The sum of two + ve numbers is 20 If the sum of their squares is minim...

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  7. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

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  8. The minimum value of 4e^(x)+9e^(-x) is

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  9. If l^(2)+m^(2)=1 then the max value of l+m is

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  10. The sum of two + ve numbers is 100 . If the product of the square of o...

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  11. The sum of two numbers is 20 . If the product of the square of one num...

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  12. If A=x^(2)+(1)/(x^(2)),B=x-(1)/(x) then minimum value of (A)/(B) is (...

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  13. The minimum value of (px+qy) when xy=n^(2) is equal to .

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  14. If a^2x^4+b^2y^4=c^6 then the maximum value of xy is

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  15. If A gt 0 , B gt 0 and A+B = (pi)/(6), then the minimum value of tan A...

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  16. Two sides of a triangle is given . If the area of a triangle is maximu...

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  17. A triangle of maximum area in inscribed in a circle If a side of the...

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  18. Maximum area of the rectangle incribed in a circle of radius 10 cms i...

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  19. The diagonal of the rectangle of maximum area having perimeter 100 cm ...

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  20. If the perimeter of a sector of a circle is constant then find the ang...

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