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If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c)...

If `f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a)` , then `f^(prime)(x)` is equal to: (a)`1` (b)`0` (c) `x^(a+b+c)` (d) None of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

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  2. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

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  3. If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) ,...

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  4. If f be a function defined on the set of non-negative integers and ta...

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  5. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x(a , ...

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  6. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

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  7. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

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  8. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  9. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a...

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  10. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo...

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  11. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b...

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  12. If f(x)=2 tan 3x+5sqrt(1-cos 6x) ; g(x) is a function having the same...

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  13. The greatest ' x ' satisfying the inequation (2x+1)/3-(3x-1)/2>1 is: -...

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  14. If (x-1)(x-3)(x+2)(x-5)>0 then ' x^(prime) can be [6,8] (b) [2, 3] (c...

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  15. In the figure, if A B=A C ,/B A D=30^0 and A E=A D , then x is equal t...

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  16. Number of composite numbers less than 20 which are coprime with 4 s...

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  17. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

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  18. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...

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  19. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

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  20. If f(x)=4x^3-x^2-2x+1 and g(x)=min{f(t): 0lt=tlt=x} : 0lt=xlt=1 and g(...

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