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Let f(x) be a polynomial of degree 6 wit...

Let `f(x)` be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is

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VIKAS GUPTA (BLACK BOOK)-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Su...

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  2. If f(x)=x^3- 3x+1, then the number of distinct real roots of the equat...

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  3. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

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  4. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

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  5. The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/...

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  6. The number of integers in the range of function f(x)= [sinx] + [cosx] ...

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  7. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

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  8. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

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  9. Let the solution set of the equation sqrt([x+[x/2]])+[sqrt({x})+[x/3]]...

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  10. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

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

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

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

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

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

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

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

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

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

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  20. 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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