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The number of integral values of a for w...

The number of integral values of a for which `f (x) = x^(3) +(a+2) x ^(2)+ 3ax+5` is monotonic in `AA x in R.`

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VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

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  2. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

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  3. The number of integral values of a for which f (x) = x^(3) +(a+2) x ^(...

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

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  5. The number of solutions of the equation cos ^(-1)((1-x ^(2) -2x)/((x+...

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

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

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

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

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

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  11. Let A = {x|x ^(2) -4x+ 3 lt 0 , x in R} If A subB, then the rang of ...

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

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  13. If f (x) is an even function, then the number of distinect real number...

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

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  15. Let x(1), x (2), x(3) satisfying the equation x ^(3) - x^(2) + betax +...

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  16. Let A={1,2,3,4}and B={0,1,2,3,4,5}. If 'm' is the number of strictly i...

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  17. If underset(r=1)overset(n)sum [log(2) r]=2010 where [.] denotes great...

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

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

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  20. Let P (x) be a cubic polynomical with leading co-efficient unity. Let ...

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