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

Fractions, I have a log that is 1/3 in mud and the rest of it is 6 meters l...

I have a log that is 1/3 in mud and the rest of it is 6 meters long. How long is the entire log?

Cycloid - parametric equations and polar coordinates, Cycloid The param...

Cycloid The parametric curve that is without the limits is known as a cycloid.  In its general form the cycloid is, X = r (θ - sin θ) Y = r (1- cos θ)  The cycloid pre

Riddles, I am a number yell my identity subtract 20 from me and add 30 make...

I am a number yell my identity subtract 20 from me and add 30 make the total twice to reach century you still need eight

6th grade, what is the length of a line segment with endpoints (-3,2) and (...

what is the length of a line segment with endpoints (-3,2) and (7,2)?

Reduce the rational expression to lowest terms, Reduce the following ration...

Reduce the following rational expression to lowest terms.                                     x 2 - 2 x - 8/ x 2 - 9 x + 20 Solution When reducing a rational expressio

Evaluate the measure of the smallest angle, The calculation of the angles o...

The calculation of the angles of a triangle are shown by 2x + 15, x + 20 and 3x + 25. Evaluate the measure of the smallest angle within the triangle. a. 40° b. 85° c. 25°

Determine the height of building, A 20-foot light post shows a shadow 25 fe...

A 20-foot light post shows a shadow 25 feet long. At the similar time, a building nearby casts a shadow 50 feet long. determine the height of building? a. 40 ft b. 62.5 ft

Translating word phrases into algebraic expressions, How do I solve this pr...

How do I solve this problem: Manuel is a cross-country runner for his school’s team. He jogged along the perimeter of a rectangular field at his school. The track is a rectangle th

Quadrilateral, similarities between rectangle & parallelogram

similarities between rectangle & parallelogram

Heat loss in cylindrical pipe, which physics law is used to describe heat l...

which physics law is used to describe heat loss in cylindrical pipe

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