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Find the number of elements contained in the range of the function `f (x) = [(x )/(6)][(-6)/(x)]AAx`` in (0,30)]` where `[.]` denotes greatest integer function)

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VIKAS GUPTA (BLACK BOOK)-FUNCTION -SUBJECTIVE TYPE PROBLEMS
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  2. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

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  3. Find the number of elements contained in the range of the function f (...

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  4. Let f (x,y)= x^(2) - y^(2) and g (x,y)=2xy. such that (f ( x,y))^(2) -...

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  5. Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral va...

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  6. The number of integral values of m for which f : R to R ,f (x) = (x ^(...

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  7. The number of roots of equation ((x-1)(x-3))/((x-2)(x-4))-e^(x)) ((x+1...

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  8. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

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  9. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

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  10. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

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  11. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

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  12. Let f x = (ax+b)/(xa+d), where a,b,c d are non zero If f (7) =7,f (11)...

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  13. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} B={x|2^(1-x)+p le 0;x^2-2(p+7...

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  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

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  15. If f(x) is an even function then find the number of distinct real numb...

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  16. The least integral value of m, m inR for which the range of function ...

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  17. Let x1, x2, x3 satisfying the equation x^3 - x^2 + betax + gamma = 0 ...

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  18. The value of sum(r=1)^1024 [log2 r] is equal to, ([.] denotes the gre...

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  19. Let f (x) = (ax+b)/(cx+d), where a,b,c d are non zero If f (7) =7,f (1...

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  20. It is pouring down rain and the amount of rain hitting point (x,y) is ...

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