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If f(x)=tan^2((pix)/(n^2-5n+8))+cot(n+m)...

If `f(x)=tan^2((pix)/(n^2-5n+8))+cot(n+m)pix;(n in N, m in Q)` is a periodic function with 2 as its fundamental period, then m can't belong to
a. `(-infty,-2) cup (-1, infty)`
b. `(-infty,-3) cup (-2, infty)`
c. `(-2,-1) cup (-3, -2)`
d. `(-3,-5/2) cup (-5/2, -2)`

A

`(-infty,-2) cup (-1, infty)`

B

`(-infty,-3) cup (-2, infty)`

C

`(-2,-1) cup (-3, -2)`

D

`(-3,-5/2) cup (-5/2, -2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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