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Let f(x)=int(2)^(x)(dt)/(sqrt(1+t^(4))) ...

Let `f(x)=int_(2)^(x)(dt)/(sqrt(1+t^(4)))` and `g` be the inverse of `f` then the value of `g^(')(0)` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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  2. Evaluate the determinants(i) |3-1-2 0 0-1 3-5 0| (ii) |3-4 5 1 1-2 2 ...

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  3. Let f(x)=int(2)^(x)(dt)/(sqrt(1+t^(4))) and g be the inverse of f then...

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  4. Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

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  5. If ,Z1,Z2,Z3,........Z(n-1) are n^(th) roots of unity then the value ...

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  6. Evaluate the determinants |[3,-1,-2],[0,0,-1],[3,-5,0]|

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  7. The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...

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  8. Evaluate the determinants in |2 4-5-1|

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  9. The number of values of k, for which the system of equations (k""+"...

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  10. In a city no two persons have identical set of teeth and there is n...

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  11. Solve: ((x-1)(x-2)(x-3))/((x+1)(x+2)(x+3))>1

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  12. Let f(x ,y)=x y^2 if xa n dy satisfy x^2+y^2=9 then the minimum value ...

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  13. Solve: (x-1)/x-(x+1)/(x-1)<2

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  14. If a, b, c are distinct odd integers and omega is non real cube root o...

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  15. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divi...

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  16. The range of the function, f(x)= (1+sec^-1x) (1 + cos^-1 x) is

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  17. The expression [root(3)root(6)(a^9) ]^4[root(6)root(3)(a^9)]^4 is sim...

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  18. The real value of k for which the sysmtem of equation 2k x-2y+3z=0, x+...

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  19. 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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  20. The number of value(s) of x satisfying 1-log9(x+1)^2=1/2log(sqrt(3))((...

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