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Let a differentiable function f:RtoR be ...

Let a differentiable function `f:RtoR` be such that for all x and y in R
`2|f(x)-f(y)|le|x-y|` and `f^(')(x)ge(1)/(2)`. So then the number of points of intersection of the graph `y=f(x)` with

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. sum(n=1)^(prop)tan^(-1)((4n)/(n^(4)+5))=

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  2. lim(n to prop) (n)/(3){((3)/(n)+(9)/(n^(2)))^(2)+((3)/(n)+(18)/(n^(2))...

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  3. Let a differentiable function f:RtoR be such that for all x and y in R...

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  4. The function y=(2x-1)/(x-2),(x!=2) is its own inverse decrease at all...

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  5. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

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  6. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

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  7. Radius of largest circle with center (0, 1) which can be inscribed ...

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  8. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

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  9. If the variable line y=k x+2h is tangent to an ellipse 2x^2+3y^2=6, th...

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  10. The focal chord of the parabola (y-2)^2=16(x-1) is a tangent to the ...

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  11. If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= h...

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  12. Given three points P, Q, R with P (5, 3) and R lies on the x-axis. I...

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  13. The value of the definite integral int (0)^(pi//2) ((1+ sin 3x)/(1+2 s...

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  14. The minimum area of a triangle formed by any tangent to the elli...

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

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  16. If x = (1 ^(2))/(1) =+ (2 ^(2))/( 3) + (3 ^(2))/( 5) +.....+ (1001 ^(2...

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

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

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

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  20. Let f(x) be a function such that ("lim")(xvec0)(f(x))/x=1 and ("lim...

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