Match the fundamental period of the following functions. Column-I Column-IIA1|sinx|+|cosx|Pπ2B|sinx+cosx|QπC|sinx+cosx|+|sinx−cosx|R3π2D|sinx|cosx+sinx|cosx|S2π

Match the fundamental period of the following functions. Column-I Column-IIA1|sinx|+|cosx|Pπ2B|sinx+cosx|QπC|sinx+cosx|+|sinx−cosx|R3π2D|sinx|cosx+sinx|cosx|S2π

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Match the fundamental period of the following functions.
Column-I Column-II
A
$\frac{1}{| \sin x | + | \cos x |}$
P
$\frac{π}{2}$
B
$| \sin x + \cos x |$
Q
$π$
C
$| \sin x + \cos x | + | \sin x - \cos x |$
R
$\frac{3 π}{2}$
D
$\frac{| \sin x |}{\cos x} + \frac{\sin x}{| \cos x |}$
S
$2 π$

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$A - R; B - P; C - Q; D - S$

$A - S; B - Q; C - P; D - R$

$A - P; B - Q; C - P; D - S$

$A - Q; B - S; C - R; D - P$

answer is C.

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Detailed Solution

$period of |sinx| + |cosx| is \frac{π}{2} \Rightarrow period of \frac{1}{| sinx | + | cosx |} is \frac{π}{2}$

period of $| \sin x + \cos x |$ is $π$

period of $| \sin x + \cos x | + | \sin x - \cos x |$ is $\frac{π}{2}$

peeriod of $\frac{| \sin x |}{\cos x} + \frac{\sin x}{| \cos x |}$ is $2 π$

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	Column-I		Column-II
A	$\frac{1}{\| \sin x \| + \| \cos x \|}$	P	$\frac{π}{2}$
B	$\| \sin x + \cos x \|$	Q	$π$
C	$\| \sin x + \cos x \| + \| \sin x - \cos x \|$	R	$\frac{3 π}{2}$
D	$\frac{\| \sin x \|}{\cos x} + \frac{\sin x}{\| \cos x \|}$	S	$2 π$

Match the fundamental period of the following functions. Column-I Column-IIA1|sinx|+|cosx|Pπ2B|sinx+cosx|QπC|sinx+cosx|+|sinx−cosx|R3π2D|sinx|cosx+sinx|cosx|S2π

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Match the fundamental period of the following functions.
Column-I Column-II
A
$\frac{1}{| \sin x | + | \cos x |}$
P
$\frac{π}{2}$
B
$| \sin x + \cos x |$
Q
$π$
C
$| \sin x + \cos x | + | \sin x - \cos x |$
R
$\frac{3 π}{2}$
D
$\frac{| \sin x |}{\cos x} + \frac{\sin x}{| \cos x |}$
S
$2 π$