A) Statement 1 is true. Statement 2 is false. Statement 1 is true, Statement 2 is true,
B) Statement 2 is a correct explanation for Statement 1.
C) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.
D) Statement 1 is false, Statement 2 is true.
Correct Answer: A
Solution :
Let\[|Z|=|W|=r\] \[\Rightarrow \]\[Z=r{{e}^{i\theta }},W=r{{e}^{i\phi }}\]where\[\theta +\phi =\pi \] \[\therefore \]\[\overline{W}=r{{e}^{-i\phi }}\] Now,\[Z=r{{e}^{i(\pi -\phi )}}=r{{e}^{i\pi }}\times {{e}^{-i\phi }}=-r{{e}^{-i\phi }}\]\[=-\overline{W}\] Thus, statement-1 is true but Statement-2 is false.You need to login to perform this action.
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