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UPSC NDA I 2010 Mathematics Paper

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) $\sin x$	1. Periodic function
(b) $\cos x$	2. Non-periodic function
(c) $\tan x$	3. Continuous at every point on $(-\infty, \infty)$
	4. Discontinuous function
	5. Differentiable at every point on $(-\infty, \infty)$
	6. Not differentiable at every point on $(-\infty$ , $\infty)$
	7. has period $\pi$
	8. has period $2 \pi$
	9. increases on $\left(0, \frac{\pi}{2}\right)$
	10. decreases on $\left(\frac{\pi}{2}, \pi\right)$
	11. increases on $\left(\frac{\pi}{2}, \pi\right)$
	12. decreases on on $\left(\frac{\pi}{2}, \pi\right)$

Question : 36 of 120

Marks: +1, -0

(b) is associated with

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