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mod(Z-25i)<15 then diffrence of min,max of argZ
Dear Mahendra,mod (Z-25i)<15,means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15.so difference in the max and min value of arg Z is given by the angle between the common tangents to the circle from origin.the length of the tangents are 20 units( root [(25)^2 - (15)^2])hence the angle between y axis and a tangent is tan inverse (15/20) = tan inverse 3/4=37 degree.hence the total diff. = angle between the tangents = 2 times the angle between the y axis and one of the tangents. =2.37=74 degree or 2.[tan inverse 3/4] = 74 degree or [tan inverse (24/7) ] (ANS)Regards.
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