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"I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n...

`"I f"I_1=int_0^1prod_(r=1)^(2016)(r-x)dxa n dI_2=int_0^1prod_(r=0)^(2015)(r+x)dx ,t h e n(I_1)/(I_2)` is equal to 2 (b) `1/2` (c) `-1` (d) 1

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RESONANCE DPP-JEE MAINS-All Questions
  1. Solve the following equation: (|x-2|)/(x-3)=1/(x-3)

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  2. Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ s ...

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  3. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

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  4. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

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  5. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

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  6. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

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  7. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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  8. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

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  9. In a geometric progression consisting of positive terms, each term ...

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  10. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

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  11. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

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  12. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

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  13. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

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  14. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  15. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

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  16. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

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  17. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

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  18. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

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  19. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

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  20. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

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