Question 917357: Locate the region represented by the complex number z in the Argand plane in case of the following :
log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2.
Please send step by step solution for the above question.
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! here goes,
log(cos(pi/6),((abs(z-2)+5)/(4*abs(z-2)-4)) less than 2 =
log((abs(z-2)+5)/(4*abs(z-2)-4)) / log( 3^(1/2) / 2) < 2
the region is bounded by the following three points,
(0,0), (0,2), (6,2)
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