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Let f : X to X be such that f(f(x))=x fo...

Let `f : X to X` be such that `f(f(x))=x` for all `x in X` and `X sube R`, then

A

f is one-to-one

B

f is onto

C

f is one-to-one but not onto

D

f is onto but not one-to-one

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. The sum of n terms of the following series, 1^(3)+3^(3)+5^(3)+7^(3)+…....

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  2. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whose r...

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  3. If omega is an imaginary cube root of unity, then the value of (2-omeg...

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  4. If ""^(n)C(r-1)=36, ""^(n)C(r )=84 and ""^(n)C(r+1)=126 then the value...

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  5. In a group 14 males and 6 females, 8 and 3 of the males and females re...

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  6. The equation x^(3)-yx^(2)+x-y=0 represents

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  7. The locus of the midpoints of chords of the circle x^(2)+y^(2)=1 which...

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  8. The locus of the midpoints of all chords of the parabola y^(2)=4ax thr...

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  9. If [x] denotes the greatest integer less than or equal to x, then the ...

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  10. The number of points at which the function f(x)=max {a-x, a+x, b}, -oo...

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  11. If the parabola x^(2)=ay makes an intercept of length sqrt(40) unit on...

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  12. If f(x) is a function such that f'(x)=(x-1)^(2)(4-x), then

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  13. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangents are p...

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  14. If varphi(t)={{:("1, for 0" le t lt 1),("0 otherwise"):} then int...

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  15. If the equation x^(2)+y^(2)-10x+21=0 has real roots x=alpha and y=beta...

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  16. If z = sin theta -i cos theta then for any integer n,

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  17. Let f : X to X be such that f(f(x))=x for all x in X and X sube R, the...

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  18. If A, B are two events such that P(A uu B)ge (3)/(4) and (1)/(8)le P(A...

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  19. If the first and the (2n+1)^(th) terms of an AP, GP and HP are equal a...

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  20. The coordinates of a point on the line x+y+1=0 which is at a distance ...

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