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Let f:R to R be such that f(0)=0 and |f...

Let `f:R to R` be such that `f(0)=0` and `|f'(x)| le 5` for all x. Then f(1) is in

A

(5, 6)

B

[-5, 5]

C

`(-oo, -5) cup (5, oo)`

D

`[-4, 4]`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. If I=lim(x to 0) sin((e^(x)-x-1-(x^(2))/(2))/(x^(2))), then limit

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  2. Let f:R to R be such that f(0)=0 and |f'(x)| le 5 for all x. Then f(1...

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  3. If int (sin 2x)/((a+b cosx)^(2))dx=alpha[log(e )|a+b cos x|+(a)/(a+b c...

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  4. Let f(x) = int2^x f(t^2-3t+2) dt then

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  5. int(1)^(3)(|x-1|)/(|x-2|+|x-3|)dx=

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  6. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-1...

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  7. If int(log(e^(2)))^(x)(e^(x)-1)^(-1)dx="log"(e )(3)/(2) then the value...

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  8. The normal to a curve at P(x, y) meets the x-axis at G. If the distanc...

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  9. The differential equation of all the ellipses centred at the origin an...

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  10. If x(dy)/(dx) +y= (xf(xy))/(f'(xy)), then |f(xy)| is equal to

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  11. The straight line through the origin which divided the area formed by ...

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  12. The value of int(0)^(5) "max" {x^(2), 6x-8}dx is

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  13. The bulb is placed at the centre of a circular track of radius 10m. A ...

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  14. Two particles A and B move from rest along a straight line with consta...

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  15. Let vecalpha, vecbeta, vecgamma be three non-zero vectors which are pa...

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  16. Let f:R to R be given by f(x) =|x^(2)-1|, x in R. Then

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  17. Let a, b, c be real numbers, each greater than 1, such that (2)/(3)...

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  18. Consider the real valued function h:{0, 1, 2 …..100} to R such that h(...

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  19. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

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  20. If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is eq...

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