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Rolle's theorem is not applicable to the...

Rolle's theorem is not applicable to the function `f(x)=|x|` for `-2lexle2` because

A

f is continuous for `-2lexle2`

B

f is not derivable for x = 0

C

`f(-2)=f(2)`

D

f is not a constant function

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. The differential equation of the family of curves y=e^(2x)(acosx+bsinx...

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  2. Lt(xrarr(pi)/(2))(a^cotx -a^cosx)/(cotx-cosx),agt0

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  3. Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle...

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  4. The equation of the circle which passes through the points of intersec...

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  5. If 2y=x and 3y+4x=0 are the equations of a pair of conjugate diameters...

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  6. The area enclosed between the curve y=1+x^(2), the y-axis, and the str...

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  7. If t is a parameter, then x=a(t+(1)/(t)),y=b(t-(1)/(t)) represents

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  8. The line which is parallel to x-axis and crosses the curve y=sqrt(x) a...

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  9. The distance between the lines 5x-12y+65=0 and 5x-12y-39=0 is

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  10. The co-ordinates of the foot of perpendicular from (a, 0) on the line ...

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  11. The value of int((-pi)/2)^(pi/2) cosxdx

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  12. Find int 1/(9x^2+6x+5)dx

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  13. The two parabolas x^(2)=4y and y^(2)=4x meet in two distinct points. O...

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  14. The vertex of the parabola x^(2)+2y=8x-7 is

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  15. If P(at(2),2at) be one end of a focal chord of the parabola y^(2)=4ax,...

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  16. The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

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  17. The equation of the ellipse having vertices at (pm5,0) and foci (pm4,0...

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  18. The area included between th parabolas y^(2)=4x and x^(2)=4y is

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  19. The locus of the centres of the circles which touch both the axes is g...

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  20. The sum of the series (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+….. up to n ...

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