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Let `f (x) =x ^(2)-bx+c,b` is an odd positive integer. Given that `f (x)=0` has two prime numbers an roots and `b+c =35.` If the least value of `f (x) AA x in R is lamda,` then `|(lamda)/(3)|` is equal to (where [.] denotes greatest integer functio)

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VIKAS GUPTA (BLACK BOOK) ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
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  2. The number of roots of equation (((x-1)(x-3))/((x-2)(x-4))-e^(x)) (((x...

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

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

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

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  6. Let f(x)= cx+d/ax+b ​ . Then fof(x) = x provided that.

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

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

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

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

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

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

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

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  17. Let f (x) = x^(2)+10x+20. Find the number of real solution of the equa...

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  18. If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(...

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  19. Polynomial P(x) contains only terms of aodd degree. when P(x) is divid...

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  20. The equation 2x ^(3) -3x ^(2) +p=0 has three real roots. Then find the...

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