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JEE MATHEMATICS MCQ: FUNCTIONS

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If f(x)=cos⁑[Ο€2]x+cos⁑[βˆ’Ο€2]xf(x)=\cos \left[\pi^2\right] x+\cos \left[-\pi^2\right] x, where [x][x] stands for the greatest integer function, then
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Correct option: C
f(βˆ’Ο€)=0f(-\pi)=0
Option C (f(βˆ’Ο€)=0f(-\pi)=0) is correct because substituting βˆ’Ο€-\pi into the function and using the greatest integer function properties yields 0.

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