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The function f(x) which satisfies f(x)=f...

The function f(x) which satisfies `f(x)=f(-x)=(f'(x))/(x)` is given by

A

`f(x)=(1)/(2)e^(x^(2))`

B

`f(x)=(1)/(2)e^(-x^(2))`

C

`f(x)=x^(2)e^(x^(2)//2)`

D

`f(x)=e^(x^(2)//2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
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  2. A function f : A rarrB, where A={x:-1lexle1} and B={y//1leyle2} is def...

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  3. The function f(x) which satisfies f(x)=f(-x)=(f'(x))/(x) is given by

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  4. A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", f...

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  5. Select the correct statement from (A), (B), (C ), (D). The function f(...

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  6. The equation e^(x)+x-1=0 has, apart from x = 0

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  7. The function f(x)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

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  9. If ""^(16)C(r)=""^(16)C(r+1) then the value of ""^(r)P(r-3) is

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  10. The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

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  11. If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1...

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  12. If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega...

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  13. Let A={1,2,3} and B={2,3,4}, then which of the following relations is ...

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  14. One possible condition for the three points (a,b),(b,a) and (a^(2),-b^...

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  15. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

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  16. Find the following: int1^4abs[x-2]dx

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  17. Find int0^(pi/2) logtanxdx

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  18. Find int 1/sqrt(2x-x^2)dx

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  19. If h(x)=(x^(3)-a^(3))/(x-a), then find h(a).

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  20. The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5), where om...

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