Mod(z-25i)<15, Mathematics

Assignment Help:

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) ]


Related Discussions:- Mod(z-25i)<15

Wave through the origin always has a slope of one or not, Can you explain t...

Can you explain that a wave through the origin always has a slope of one or not?

Linda bought 35 yards of fencing how much did she spend, Linda bought 35 ya...

Linda bought 35 yards of fencing at $4.88 a yard. How much did she spend? To multiply decimals, multiply generally, count the number of decimal places in the problem, then us

Quick help for exam preparation, can you help me with entrance exam for uni...

can you help me with entrance exam for university ? i really need help so quick

Work Word Problems, Data entry is performed in 2-person teams. Each 2-perso...

Data entry is performed in 2-person teams. Each 2-person team can enter 520 surveys per day. A selection of 7540 surveys must be entered by day''s end. How many total employees, wo

Stats Combination Questions, A car buyer has a choice of three makes, five ...

A car buyer has a choice of three makes, five body styles, and six colors. How many different choices does the buyer have?

Describe the types of triangles, Describe the Types of triangles ? Tria...

Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An

Krystal, what is the tenths place

what is the tenths place

Applications of percentage, rajan bought an armchair for rs.2200 and sold i...

rajan bought an armchair for rs.2200 and sold it for rs.2420.find his profit per cent.

Distance traveled, a) Determine the distance traveled among t = 0 and  t =∏...

a) Determine the distance traveled among t = 0 and  t =∏/2 by a particle P(x, y) whose position at time t is given by Also check your result geometrically.  (5) b) D

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd