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if x=1^1/1+2^2/3+...1001^2/2001, y=1^1/3...

if `x=1^1/1+2^2/3+...1001^2/2001, y=1^1/3+2^2/5+...1001^2/2003` then `([x-y])/10` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. The value of the definite integral int0^(pi/2) ((1+sin3x)/(1+2sinx)) d...

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  2. A number x is chosen at random from the set {1,2,3,4, ………., 100}. Defi...

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  3. if x=1^1/1+2^2/3+...1001^2/2001, y=1^1/3+2^2/5+...1001^2/2003 then ([x...

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  4. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

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  5. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

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  6. Let f(x) is a cubic polynomial with real coefficients, x in R such tha...

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  7. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

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  8. If the angle between the asymptotes of hyperbola (x^(2))/(a^(2))-(y^(2...

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  9. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

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  10. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

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  11. Number of triplets of a, b & c for which the system of equations, ax -...

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  12. int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx is

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  13. Find the coefficient of x^(50) after simplifying and collecting the li...

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  14. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

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  15. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

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  16. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concur...

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  17. The centres of two circles C1 and C2, each of unit radius are at a dis...

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  18. Consider circles C1 : x^2 +y^2 + 2x-2y + p = 0, C2 : x^2+y^2-2x+2y-p=0...

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  19. If alphaa n dbeta are the eccentric angles of the extremities of a...

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  20. The number of values of c such that the straight line y=4x+c touches t...

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