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Mod(Z-25i)<15 then diffrence of min,max of argZ Sol) 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) ]
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the (cube square root of 2)^1/2)^3
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12.+12+
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I have a 40 question assignment for this topic, will you be able to complete it?
Example Write down the equation of a circle alongwith radius 8 & center ( -4, 7 ) . Solution Okay, in this case we have r =8 , h = -4 and k = 7 thus all we have to do i
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