edited by
3,606 views
17 votes
17 votes

Which of the following curves represents the function $y=\ln \left( \mid e^{\left[\mid \sin \left( \mid x \mid \right) \mid \right]} \right)$ for $\mid x \mid < 2\pi$? Here, $x$ represents the abscissa and $y$ represents the ordinate.

edited by

2 Answers

Best answer
13 votes
13 votes
$f(x) = \large \ln \left( |e^{\left [ \;\; |{\color{blue}{\sin}} \left ( {\color{red}{|x|}} \right ) | \;\; \right ]}| \right )$

$1. \qquad {\color{red}{\bf |x|}}\rightarrow \;\; f(x)\;\;\; \text{is Even }\rightarrow \quad \text{option b not possible}$

$2. \qquad m = |\;{\color{blue}{\sin}} \left ( {\color{red}{\bf |x|}} \right ) | \;\; \geq \;\; 0 \quad \rightarrow {\color{blue}{e^{\bf m} \;\; \geq \;\; 1}}$

$3.\Rightarrow f(x) = \ln\left ( | \color{blue}{e^{\bf m}}| \right ) = \ln\left ( \color{blue}{e^{\bf m}}\right ) \geq 0 \quad \left \{ \text{from 2} \right\} \;\; \rightarrow \text{option a not possible}$

$4. \text{ and } f(x)_{x=0} = 0 \;\; \rightarrow \text{option d not possible}$

$\Rightarrow \text{answer C}$
edited by
0 votes
0 votes
Function Y value will be positive only as Mod is given , A B eliminated now sinPi=0 D eliminated so C is answer
Answer:

Related questions

3 votes
3 votes
2 answers
1
3 votes
3 votes
3 answers
2
makhdoom ghaya asked Jan 20, 2017
2,000 views
Find the missing sequence in the letter series. $B, FH, LNP$, _______.$SUWY$$TUVW$$TVXZ$$TWXZ$
9 votes
9 votes
2 answers
3