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Let f(x) be a continuous periodic functi...

Let f(x) be a continuous periodic function with period T. Let `I= int_(a)^(a+T) f(x)dx`. Then

A

I is linear function in 'a'

B

I does not depend on 'a'

C

`0 lt I lt a^(2) +1` where I depends on 'a'

D

I is linear function in 'a'

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
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  2. Let f:D to R where D=[0,1] cup [2, 4] be defined by f(x)={(x",","if ...

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  3. Let f(x) be a continuous periodic function with period T. Let I= int(a...

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  4. If b=int(0)^(1) (e^(t))/(t+1)dt, then int(a-1)^(a) (e^(-t))/(t-a-1) is

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  5. The differential of f(x)=log(e ) (1+e^(10x))-tan^(-1) (e^(5x)) at x = ...

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  6. Given that f: S to R is said to have a fixed point at c of S if f(c )...

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  7. The lim(x to oo) ((3x-1)/(3x+1))^(4x) equals

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  8. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

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  9. If a(vecalpha xx vecbeta) + b(vecbeta xx vecgamma) +c(vecgamma xx veca...

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  10. If the tangent at the point P with co-ordinates (h, k) on the curve y^...

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  11. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

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  12. Three unequal positive numbers a, b, c are such that a, b, c are in G....

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  13. The determinant |(a^(2)+10,ab, ac),(ab, b^(2)+10, bc),(ac, bc, c^(2)...

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  14. Let R be the real line. Let the relations S and T on R be defined by ...

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  15. The plane lx + my = 0 is rotated about its line of intersection with t...

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  16. The points of intersection of two ellipses x^(2)+2y^(2) -6x-12y+20=0 a...

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  17. Let I= int(pi//4)^(pi//3) (sinx)/(x)dx. Then

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  18. If |z+i|-|z-1|=|z|-2=0 for a complex number z, then z =

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  19. |(x, 3x+2,2x-1),(2x-1,4x,3x+1),(7x-2,17x+6,12x-1)|=0 is true for

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  20. The remainder when 7^(7^(7^(...^(7))))(22 times 7) is divided by 48 is

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