Q) If z = -5 - 3i & z' = -3 + 5i and z" lies on the line segment joining z & z' , then find the suitable answer from the following options .
A) ## -3\pi/4 ##
B) ## \pi/4 ##
C) ## 5\pi/6 ##
D) ## \pi/6 ##
My solving so far :
Drawing the rough diagram we get to know that x either lies on x-axis or 2nd or 3rd quadrant .
But since there is no option ##\pi## => x lies in either 2nd or 3rd quadrant in the argand plane . => one of ##-3\pi/4 or 5\pi/6 ## the suitable solutions .
I don't know how to proceed further and elimate one of the above two , so as to find the answer to the question .
Book say's : ## 5\pi/6 ## is the correct answer .
A) ## -3\pi/4 ##
B) ## \pi/4 ##
C) ## 5\pi/6 ##
D) ## \pi/6 ##
My solving so far :
Drawing the rough diagram we get to know that x either lies on x-axis or 2nd or 3rd quadrant .
But since there is no option ##\pi## => x lies in either 2nd or 3rd quadrant in the argand plane . => one of ##-3\pi/4 or 5\pi/6 ## the suitable solutions .
I don't know how to proceed further and elimate one of the above two , so as to find the answer to the question .
Book say's : ## 5\pi/6 ## is the correct answer .