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

The least natural number `a` for which `x+a x^(-2)>2AAx in (0,oo)` is 1 (b) 2 (c) 5 (d) none of these

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The correct Answer is:
`a gt (32)/(27)`.
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FIITJEE-TIPS-NUERICAL DECIMAL BASED QUATIONS
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  3. Period of sin.(pi)/(4)[x]+sin.(pix)/(2)+tan.(pi)/(3)+sin.(pit)/(4) is

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  4. The period of the function f(t)=sin.(pit)/(3)+sin.(pit)/(4) is

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  5. The value of lim(xrarroo)(x^(3)sin(1//x)-2x^(2))/(1+3x^(2)) is

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  6. Let fp(alpha)=(cos(alpha/p^2)+i sin(alpha/p^2))+((cos)(2alpha)/p^2+isi...

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  7. Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

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  8. The value of int(-1)^(1)g(x)-g-(-x)+[x]dx where [.] is the greatest fu...

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  9. Tet alpha, beta and gamma be the roots of f(x) = x^3 + x^2 - 5x - 1 = ...

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  10. If a, b, c, d, e and f are non negative real numbers such that a +b+...

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  11. Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of...

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  12. If int(sqrt(cotx))/(cosx cos x)dx=a sqrt(cotx)+b, then

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  13. If f(x+1)+f(x+7)=0, x in R , then possible value of t for which inta^(...

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  14. f(x)={{:(3[x]-5(|x|)/(x)",",x ne0),(2",", x=0):}, then int(-3//2)^(2)f...

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  15. If f(x)=x(x-1), 0 le x le 1, and f(x+1)=f(x) AA x in R, then |int(2)^(...

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  16. int2^3(x^2dx)/(2x^2-10 x+25)

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  17. Let f(x) = x-[x], for every real number x, where [x] is integral part ...

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  18. Let f:(0, oo) rarr R and F(x^(2))=int(0)^(x^(2))f(t)dt. " If "F(x^(2))...

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  19. intx^6sin(5x^7)dx=k/5cos(5x^7)+c ,then k=

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  20. If int(sqrt(cotx))/(sinx cos x)dx=A sqrt(cotx)+B, then A is equal to

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  21. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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