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Let P (x) be a cubic polynomical with le...

Let P (x) be a cubic polynomical with leading co-efficient unity. Let the remainder when P (x) is divided by `x ^(2)-5x+6` equals 2 times the remainder when P (x) is divided by `x ^(2)-5x+4.` If `P (0)=100,` find thesum of the digits of `P (5),`

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VK JAISWAL-FUNCTION -SUBJECTIVE TYPE PROBLEMS
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  2. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

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

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

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

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

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

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

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

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

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

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

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

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

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