UPSC NDA I 2010 Mathematics Paper

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Directions (35-37) : Consider the following lists:
Each item under List-I is associated with one or more items under List-II.
 List-I
(Function)
 List-II
(Property)
 (a) sin‌x  1. Periodic function
 (b) cos‌x  2. Non-periodic function
 (c) tan‌x  3. Continuous at every point on (−∞,∞)
   4. Discontinuous function
   5. Differentiable at every point on (−∞,∞)
   6. Not differentiable at every point on (−∞, ∞)
   7. has period Ï€
   8. has period 2Ï€
   9. increases on (0,π∕2)
   10. decreases on (π∕2,Ï€)
   11. increases on (π∕2,Ï€)
   12. decreases on on (π∕2,Ï€)
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(b) is associated with
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