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The area enclosed between y^(2) = x and ...

The area enclosed between `y^(2) = x` and `y=x` is:

A

`2/3 sq. units `

B

`1/2` sq. units

C

`1/3` sq.units

D

`1/6` sq. units

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. If in a triangle ABC, sin A, sin B, sin C are in A.P, then

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  2. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

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  3. The area enclosed between y^(2) = x and y=x is:

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  4. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

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  5. The area bounded by y^(2) = 4x and x^(2) = 4y is:

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  6. The acceleration of a particle starting from rest moving in a straight...

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  7. The solution of: (dy)/(dx) = y/x + tan y/x is:

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  8. Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...

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  9. The differential equation of y=ae^(bx) (a & b are parameters) is:

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  10. The value of: lim(n to infty) sum(r=1)^(n) r^(2)/(r^(3) + n^(3)) is:

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  11. The value of int(0)^(pi) sin^(50)x cos^(49) x dx is:

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  12. int 2^(x) [f'(x) + f(x) (log 2)] dx is

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  13. Let f(x) = tan^(-1) x. Then f'(x) + f''(x) is =0, when x is equal to:

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  14. If y= tan^(-1) ((sqrt(1+x^(2))-1)/x) , then y'(1)=

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  15. The value of lim(x to 1) (x+x^(2)+ ….. + x^(n) -n)/(x-1) is:

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  16. lim( x to 0) (sin (pi sin^(2)x))/x^(2) =

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  17. If the function: f(x) = {{:((x^(2)-(A+ 2)x+A)/(x-2), "for", x ne 2),...

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  18. f(x) ={{:([x]+[-x], "when" , x ne 2),(lambda, "when", x =2):}, If f(x)...

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  19. The even function of the following is:

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  20. If f(x + 2y, x-2y) =xy, then f(x,y) is equal to:

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