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If f(t) is an odd function, then varphi(...

If `f(t)` is an odd function, then `varphi(x)=int_a^xf(t)dx` is an even function.

A

an odd function

B

an even function

C

Neither even nor odd

D

0

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The correct Answer is:
B
If f (t) is an odd function, then `int_(0)^(x)` f(t) dt is an even function.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 19-Paper 2 (Mathematics)
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  2. Area bounded by the curves 4y = |x^2-4| and y + | x | = 7, is equal t...

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  3. If f(t) is an odd function, then varphi(x)=inta^xf(t)dx is an even fun...

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  4. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

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  5. The value of int(3)^(5)(x^(2))/(x^(2)-4) dx is

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  7. The equation of straight line equally inclined to the axes and equidis...

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  8. Let P(-1,0), Q(0,0),R(3,3sqrt(3)) be three points then the equation of...

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  9. Let A and B be sets. If AnnX=BnnX=phi and AuuX=BuuX for some set X the...

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  14. Two aeroplanes I and II bomb a target in succession. The probabilit...

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  15. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

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  16. If A=[(1,2,-1),(-1,1,2),(2,-1,1)], then det (adj(adj A) is

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  17. Dual of x ^^(y vv x)=x is

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  18. If given constraints are 5x+4y ge2, x le6, y le 7, then the maximum va...

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  20. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

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